Functional Analysis

📒Functional Analysis ✍ George Bachman

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : George Bachman
✏Publisher : Courier Corporation
✏Release Date : 2012-09-26
✏Pages : 544
✏ISBN : 9780486136554
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : Text covers introduction to inner-product spaces, normed, metric spaces, and topological spaces; complete orthonormal sets, the Hahn-Banach Theorem and its consequences, and many other related subjects. 1966 edition.

📒Functional Analysis ✍ Peter D. Lax

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : Peter D. Lax
✏Publisher : John Wiley & Sons
✏Release Date : 2014-08-28
✏Pages : 608
✏ISBN : 9781118626740
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : Includes sections on the spectral resolution and spectralrepresentation of self adjoint operators, invariant subspaces,strongly continuous one-parameter semigroups, the index ofoperators, the trace formula of Lidskii, the Fredholm determinant,and more. * Assumes prior knowledge of Naive set theory, linear algebra,point set topology, basic complex variable, and realvariables. * Includes an appendix on the Riesz representation theorem.

📒Functional Analysis ✍ Kösaku Yosida

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : Kösaku Yosida
✏Publisher : Springer Science & Business Media
✏Release Date : 2012-12-06
✏Pages : 504
✏ISBN : 9783642618598
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topo logical Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SOBOLEV and L. SCHWARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathe maticians, both pure and applied. The reader may pass, e. g. , from Chapter IX (Analytical Theory of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integration of the Equation of Evolution). Such materials as "Weak Topologies and Duality in Locally Convex Spaces" and "Nuclear Spaces" are presented in the form of the appendices to Chapter V and Chapter X, respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators.

📒I Functional Analysis ✍ Michael Reed

I Functional Analysis Book PDF
✏Book Title : I Functional Analysis
✏Author : Michael Reed
✏Publisher : Academic Press
✏Release Date : 1981-02-23
✏Pages : 400
✏ISBN : 9780080570488
✏Available Language : English, Spanish, And French

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✏I Functional Analysis Book Summary : This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations.

A Course In Functional Analysis Book PDF
✏Book Title : A Course in Functional Analysis
✏Author : John B Conway
✏Publisher : Springer
✏Release Date : 2010-11-16
✏Pages : 400
✏ISBN : 9781475743838
✏Available Language : English, Spanish, And French

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✏A Course in Functional Analysis Book Summary : This book is an introductory text in functional analysis. Unlike many modern treatments, it begins with the particular and works its way to the more general. From the reviews: "This book is an excellent text for a first graduate course in functional analysis....Many interesting and important applications are included....It includes an abundance of exercises, and is written in the engaging and lucid style which we have come to expect from the author." --MATHEMATICAL REVIEWS

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author :
✏Publisher : Krishna Prakashan Media
✏Release Date : 1980
✏Pages : 429
✏ISBN :
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary :

Foundations Of Functional Analysis Book PDF
✏Book Title : Foundations of Functional Analysis
✏Author : S. Ponnusamy
✏Publisher : CRC Press
✏Release Date : 2003-01-29
✏Pages : 457
✏ISBN : 0849317177
✏Available Language : English, Spanish, And French

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✏Foundations of Functional Analysis Book Summary : Foundations of Functional Analysis provides fundamental concepts about the theory and application of various methods involving functional analysis. Part one covers basic facts of linear algebra and real analysis. Part two is devoted to the theory of normed spaces, Banach spaces, contraction mappings, and linear operators between normed spaces. Part three focuses on Hilbert spaces and the representation of continuous linear functional with some applications. In this self-contained book, all the concepts, results, and their consequences are motivated and illustrated by numerous examples in each chapter with carefully chosen exercises.

Applications Of Functional Analysis And Operator Theory Book PDF
✏Book Title : Applications of Functional Analysis and Operator Theory
✏Author : V. Hutson
✏Publisher : Elsevier
✏Release Date : 2005-02-08
✏Pages : 432
✏ISBN : 0080527310
✏Available Language : English, Spanish, And French

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✏Applications of Functional Analysis and Operator Theory Book Summary : Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces. Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results Introduces each new topic with a clear, concise explanation Includes numerous examples linking fundamental principles with applications Solidifies the reader's understanding with numerous end-of-chapter problems

Elements Of Functional Analysis Book PDF
✏Book Title : Elements of Functional Analysis
✏Author : I. J. Maddox
✏Publisher : CUP Archive
✏Release Date : 1988
✏Pages : 242
✏ISBN : 052135868X
✏Available Language : English, Spanish, And French

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✏Elements of Functional Analysis Book Summary : This 1970 textbook aims to provide a truly introductory course in functional analysis.

📒Functional Analysis ✍ Joseph Muscat

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : Joseph Muscat
✏Publisher : Springer
✏Release Date : 2014-07-23
✏Pages : 420
✏ISBN : 9783319067285
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields. Functional Analysis adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, based upon the classical sequence and function spaces and their operators. It assumes only a minimum of knowledge in elementary linear algebra and real analysis; the latter is redone in the light of metric spaces. It contains more than a thousand worked examples and exercises, which make up the main body of the book.

📒Functional Analysis ✍ Terry J. Morrison

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : Terry J. Morrison
✏Publisher : John Wiley & Sons
✏Release Date : 2011-10-14
✏Pages : 376
✏ISBN : 9781118031247
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : A powerful introduction to one of the most active areas oftheoretical and applied mathematics This distinctive introduction to one of the most far-reaching andbeautiful areas of mathematics focuses on Banach spaces as themilieu in which most of the fundamental concepts are presented.While occasionally using the more general topological vector spaceand locally convex space setting, it emphasizes the development ofthe reader's mathematical maturity and the ability to bothunderstand and "do" mathematics. In so doing, Functional Analysisprovides a strong springboard for further exploration on the widerange of topics the book presents, including: * Weak topologies and applications * Operators on Banach spaces * Bases in Banach spaces * Sequences, series, and geometry in Banach spaces Stressing the general techniques underlying the proofs, FunctionalAnalysis also features many exercises for immediate clarificationof points under discussion. This thoughtful, well-organizedsynthesis of the work of those mathematicians who created thediscipline of functional analysis as we know it today also providesa rich source of research topics and reference material.

📒Functional Analysis ✍ E. Suhubi

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : E. Suhubi
✏Publisher : Springer Science & Business Media
✏Release Date : 2013-03-09
✏Pages : 691
✏ISBN : 9789401701419
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : Functional Analysis is primarily concerned with the structure of infinite dimensional vector spaces and the transformations, which are frequently called operators, between such spaces. The elements of these vector spaces are usually functions with certain properties, which map one set into another. Functional analysis became one of the success stories of mathematics in the 20th century, in the search for generality and unification.

📒Functional Analysis ✍ P. K. Jain

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : P. K. Jain
✏Publisher : New Age International
✏Release Date : 1995
✏Pages : 326
✏ISBN : 812240801X
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : The Book Is Intended To Serve As A Textbook For An Introductory Course In Functional Analysis For The Senior Undergraduate And Graduate Students. It Can Also Be Useful For The Senior Students Of Applied Mathematics, Statistics, Operations Research, Engineering And Theoretical Physics. The Text Starts With A Chapter On Preliminaries Discussing Basic Concepts And Results Which Would Be Taken For Granted Later In The Book. This Is Followed By Chapters On Normed And Banach Spaces, Bounded Linear Operators, Bounded Linear Functionals. The Concept And Specific Geometry Of Hilbert Spaces, Functionals And Operators On Hilbert Spaces And Introduction To Spectral Theory. An Appendix Has Been Given On Schauder Bases.The Salient Features Of The Book Are: * Presentation Of The Subject In A Natural Way * Description Of The Concepts With Justification * Clear And Precise Exposition Avoiding Pendantry * Various Examples And Counter Examples * Graded Problems Throughout Each ChapterNotes And Remarks Within The Text Enhances The Utility Of The Book For The Students.

📒Functional Analysis ✍ R.E. Edwards

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : R.E. Edwards
✏Publisher : Courier Corporation
✏Release Date : 2012-10-25
✏Pages : 800
✏ISBN : 9780486145105
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : Massive compilation offers detailed, in-depth discussions of vector spaces, Hahn-Banach theorem, fixed-point theorems, duality theory, Krein-Milman theorem, theory of compact operators, much more. Many examples and exercises. 32-page bibliography. 1965 edition.

📒Functional Analysis ✍ Kōsaku Yoshida

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : Kōsaku Yoshida
✏Publisher : Springer Science & Business Media
✏Release Date : 2013-11-11
✏Pages : 458
✏ISBN : 9783662257623
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary :

Linear Functional Analysis Book PDF
✏Book Title : Linear Functional Analysis
✏Author : Bryan Rynne
✏Publisher : Springer Science & Business Media
✏Release Date : 2013-03-14
✏Pages : 273
✏ISBN : 9781447136552
✏Available Language : English, Spanish, And French

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✏Linear Functional Analysis Book Summary : This book provides an introduction to the ideas and methods of linear func tional analysis at a level appropriate to the final year of an undergraduate course at a British university. The prerequisites for reading it are a standard undergraduate knowledge of linear algebra and real analysis (including the the ory of metric spaces). Part of the development of functional analysis can be traced to attempts to find a suitable framework in which to discuss differential and integral equa tions. Often, the appropriate setting turned out to be a vector space of real or complex-valued functions defined on some set. In general, such a vector space is infinite-dimensional. This leads to difficulties in that, although many of the elementary properties of finite-dimensional vector spaces hold in infinite dimensional vector spaces, many others do not. For example, in general infinite dimensional vector spaces there is no framework in which to make sense of an alytic concepts such as convergence and continuity. Nevertheless, on the spaces of most interest to us there is often a norm (which extends the idea of the length of a vector to a somewhat more abstract setting). Since a norm on a vector space gives rise to a metric on the space, it is now possible to do analysis in the space. As real or complex-valued functions are often called functionals, the term functional analysis came to be used for this topic. We now briefly outline the contents of the book.

Basic Methods Of Linear Functional Analysis Book PDF
✏Book Title : Basic Methods of Linear Functional Analysis
✏Author : John D. Pryce
✏Publisher : Courier Corporation
✏Release Date : 2011-10
✏Pages : 320
✏ISBN : 9780486483849
✏Available Language : English, Spanish, And French

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✏Basic Methods of Linear Functional Analysis Book Summary : " An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. Topics include operators, function spaces, Hilbert spaces, and elementary Fourier analysis. "The author has a delightfully lively style which makes the book very readable, and there are numerous interesting and instructive problems." -- Edinburgh Math Society.1973 edition"--

📒Functional Analysis ✍ Frigyes Riesz

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : Frigyes Riesz
✏Publisher : Courier Corporation
✏Release Date : 2012-12-27
✏Pages : 528
✏ISBN : 9780486162140
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : DIVClassic exposition of modern theories of differentiation and integration and principal problems and methods of handling integral equations and linear functionals and transformations. 1955 edition. /div

Beginning Functional Analysis Book PDF
✏Book Title : Beginning Functional Analysis
✏Author : Karen Saxe
✏Publisher : Springer Science & Business Media
✏Release Date : 2013-04-17
✏Pages : 197
✏ISBN : 9781475736878
✏Available Language : English, Spanish, And French

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✏Beginning Functional Analysis Book Summary : The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces. The author's goal is to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed courses in linear algebra and real analysis, and to develop the topics in their historical contexts.

Real And Functional Analysis Book PDF
✏Book Title : Real and Functional Analysis
✏Author : K. Pothoven
✏Publisher : Springer Science & Business Media
✏Release Date : 2013-12-01
✏Pages : 529
✏ISBN : 9781468423310
✏Available Language : English, Spanish, And French

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✏Real and Functional Analysis Book Summary : This book introduces two most important aspects of modern analysis: the theory of measure and integration and the theory of Banach and Hilbert spaces. It is designed to serve as a text for first-year graduate students who are already familiar with some analysis as given in a book similar to Apostol's Mathematical Analysis. t This book treats in sufficient detail most relevant topics in the area of real and functional analysis that can be included in a book of this nature and size and at the level indicated above. It can serve as a text for a solid one-year course entitled "Measure and Integration Theory" or a com prehensive one-year course entitled "Banach Spaces, Hilbert Spaces, and Spectral Theory. " For the latter alternative, the student is, of course, required to have some knowledge of measure and integration theory. The breadth of the book gives the instructor enough flexibility to choose what is best suited for his/her class. Specifically the following alternatives are available: (a) A one-year course on "Measure and Integration" utilizing Chapters 1 (Sections l. l-1. 3 and 1. 6), 2, 3, 4, portions of 5 (information on Lp spaces), and portions of 7 (left to the discretion of the teacher). (b) A one-year course in "Functional Analysis" utilizing Chapters 1 (Sections 1. 4-1. 6), 5, 6, 7 (Sections 7. 4 and 7. 6), and the Ap pendix. t T. M. Apostol, Mathematical Analysis, 2nd ed. , Addison-Wesley (1974).

📒Functional Analysis ✍ Yuli Eidelman

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : Yuli Eidelman
✏Publisher : American Mathematical Soc.
✏Release Date : 2004
✏Pages : 322
✏ISBN : 9780821836460
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : The goal of this textbook is to provide an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded self-adjoint operators. The text corresponds to material for two semester courses (Part I and Part II, respectively), and it is as self-contained as possible. The only prerequisites for the first part are minimal amounts of linear algebra and calculus. However, for the second course (Part II), it is useful to have some knowledge of topology and measure theory. Each chapter is followed by numerous exercises, whose solutions are given at the end of the book.

Functional Analysis Sobolev Spaces And Partial Differential Equations Book PDF
✏Book Title : Functional Analysis Sobolev Spaces and Partial Differential Equations
✏Author : Haim Brezis
✏Publisher : Springer Science & Business Media
✏Release Date : 2010-11-10
✏Pages : 600
✏ISBN : 9780387709130
✏Available Language : English, Spanish, And French

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✏Functional Analysis Sobolev Spaces and Partial Differential Equations Book Summary : This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

📒Functional Analysis ✍ M. THAMBAN NAIR

Functional Analysis Book PDF
✏Book Title : FUNCTIONAL ANALYSIS
✏Author : M. THAMBAN NAIR
✏Publisher : PHI Learning Pvt. Ltd.
✏Release Date : 2001-01-01
✏Pages : 448
✏ISBN : 9788120317352
✏Available Language : English, Spanish, And French

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✏FUNCTIONAL ANALYSIS Book Summary : Intended as an introductory-level text on Functional Analysis for the postgraduate students in Mathematics, this compact and well-organized text covers all the topics considered essential to the subject. In so doing, it provides a very good understanding of the subject to the reader. The book begins with a review of linear algebra, and then it goes on to give the basic notion of a norm on linear space (proving thereby most of the basic results), progresses gradually, dealing with operators, and proves some of the basic theorems of Functional Analysis. Besides, the book analyzes more advanced topics like dual space considerations, compact operators, and spectral theory of Banach and Hilbert space operators. The text is so organized that it strives, particularly in the last chapter, to apply and relate the basic theorems to problems which arise while solving operator equations.

Essential Results Of Functional Analysis Book PDF
✏Book Title : Essential Results of Functional Analysis
✏Author : Robert J. Zimmer
✏Publisher : University of Chicago Press
✏Release Date : 1990-01-15
✏Pages : 157
✏ISBN : 9780226983387
✏Available Language : English, Spanish, And French

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✏Essential Results of Functional Analysis Book Summary : Functional analysis is a broad mathematical area with strong connections to many domains within mathematics and physics. This book, based on a first-year graduate course taught by Robert J. Zimmer at the University of Chicago, is a complete, concise presentation of fundamental ideas and theorems of functional analysis. It introduces essential notions and results from many areas of mathematics to which functional analysis makes important contributions, and it demonstrates the unity of perspective and technique made possible by the functional analytic approach. Zimmer provides an introductory chapter summarizing measure theory and the elementary theory of Banach and Hilbert spaces, followed by a discussion of various examples of topological vector spaces, seminorms defining them, and natural classes of linear operators. He then presents basic results for a wide range of topics: convexity and fixed point theorems, compact operators, compact groups and their representations, spectral theory of bounded operators, ergodic theory, commutative C*-algebras, Fourier transforms, Sobolev embedding theorems, distributions, and elliptic differential operators. In treating all of these topics, Zimmer's emphasis is not on the development of all related machinery or on encyclopedic coverage but rather on the direct, complete presentation of central theorems and the structural framework and examples needed to understand them. Sets of exercises are included at the end of each chapter. For graduate students and researchers in mathematics who have mastered elementary analysis, this book is an entrée and reference to the full range of theory and applications in which functional analysis plays a part. For physics students and researchers interested in these topics, the lectures supply a thorough mathematical grounding.

Real And Functional Analysis Book PDF
✏Book Title : Real and Functional Analysis
✏Author : Serge Lang
✏Publisher : Springer Science & Business Media
✏Release Date : 2012-12-06
✏Pages : 580
✏ISBN : 9781461208976
✏Available Language : English, Spanish, And French

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✏Real and Functional Analysis Book Summary : This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.

📒Functional Analysis ✍ Vagn Lundsgaard Hansen

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : Vagn Lundsgaard Hansen
✏Publisher : World Scientific
✏Release Date : 2006
✏Pages : 136
✏ISBN : 9789812565631
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : The present book is based on lectures given by the author at the University of Tokyo during the past ten years. It is intended as a textbook to be studied by students on their own or to be used in a course on Functional Analysis, i. e. , the general theory of linear operators in function spaces together with salient features of its application to diverse fields of modern and classical analysis. Necessary prerequisites for the reading of this book are summarized, with or without proof, in Chapter 0 under titles: Set Theory, Topo? logical Spaces, Measure Spaces and Linear Spaces. Then, starting with the chapter on Semi-norms, a general theory of Banach and Hilbert spaces is presented in connection with the theory of generalized functions of S. L. SoBOLEV and L. ScmVARTZ. While the book is primarily addressed to graduate students, it is hoped it might prove useful to research mathe? maticians, both pure and applied. The reader may pass e. g. from Chapter IX (Analytical Theory of Semi-groups) directly to Chapter XIII (Ergodic Theory and Diffusion Theory) and to Chapter XIV (Integ-ration of the Equation of Evolution). Such materials as 'Weak Topologies and Duality in Locally Convex Spaces' and 'Nuclear Spaces' are presented in the form of the appendices to Chapter V and Chapter X, respectively. These might be skipped for the first reading by those who are interested rather in the application of linear operators.

An Introduction To Functional Analysis Book PDF
✏Book Title : An Introduction to Functional Analysis
✏Author : James C. Robinson
✏Publisher : Cambridge University Press
✏Release Date : 2020-02-29
✏Pages : 432
✏ISBN : 9780521899642
✏Available Language : English, Spanish, And French

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✏An Introduction to Functional Analysis Book Summary : Accessible text covering core functional analysis topics in Hilbert and Banach spaces, with detailed proofs and 200 fully-worked exercises.

📒Functional Analysis ✍ Balmohan Vishnu Limaye

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : Balmohan Vishnu Limaye
✏Publisher : New Age International
✏Release Date : 1996
✏Pages : 612
✏ISBN : 8122408494
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : This Book Is An Introductory Text Written With Minimal Prerequisites. The Plan Is To Impose A Distance Structure On A Linear Space, Exploit It Fully And Then Introduce Additional Features Only When One Cannot Get Any Further Without Them. The Book Naturally Falls Into Two Parts And Each Of Them Is Developed Independently Of The Other The First Part Deals With Normed Spaces, Their Completeness And Continuous Linear Maps On Them, Including The Theory Of Compact Operators. The Much Shorter Second Part Treats Hilbert Spaces And Leads Upto The Spectral Theorem For Compact Self-Adjoint Operators. Four Appendices Point Out Areas Of Further Development.Emphasis Is On Giving A Number Of Examples To Illustrate Abstract Concepts And On Citing Varirous Applications Of Results Proved In The Text. In Addition To Proving Existence And Uniqueness Of A Solution, Its Apprroximate Construction Is Indicated. Problems Of Varying Degrees Of Difficulty Are Given At The End Of Each Section. Their Statements Contain The Answers As Well.

📒Functional Analysis ✍ Yurij M. Berezansky

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : Yurij M. Berezansky
✏Publisher : Springer Science & Business Media
✏Release Date : 1996-03-28
✏Pages : 426
✏ISBN : 3764353449
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : "Functional Analysis" is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathematical physics. The first volume reviews basic concepts such as the measure, the integral, Banach spaces, bounded operators and generalized functions. Volume II moves on to more advanced topics including unbounded operators, spectral decomposition, expansion in generalized eigenvectors, rigged spaces, and partial differential operators. This text provides students of mathematics and physics with a clear introduction into the above concepts, with the theory well illustrated by a wealth of examples. Researchers will appreciate it as a useful reference manual.

📒Functional Analysis ✍ Markus Haase

Functional Analysis Book PDF
✏Book Title : Functional Analysis
✏Author : Markus Haase
✏Publisher : American Mathematical Society
✏Release Date : 2014-09-17
✏Pages : 372
✏ISBN : 9780821891711
✏Available Language : English, Spanish, And French

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✏Functional Analysis Book Summary : This book introduces functional analysis at an elementary level without assuming any background in real analysis, for example on metric spaces or Lebesgue integration. It focuses on concepts and methods relevant in applied contexts such as variational methods on Hilbert spaces, Neumann series, eigenvalue expansions for compact self-adjoint operators, weak differentiation and Sobolev spaces on intervals, and model applications to differential and integral equations. Beyond that, the final chapters on the uniform boundedness theorem, the open mapping theorem and the Hahn-Banach theorem provide a stepping-stone to more advanced texts. The exposition is clear and rigorous, featuring full and detailed proofs. Many examples illustrate the new notions and results. Each chapter concludes with a large collection of exercises, some of which are referred to in the margin of the text, tailor-made in order to guide the student digesting the new material. Optional sections and chapters supplement the mandatory parts and allow for modular teaching spanning from basic to honors track level.