Functional Analysis

• Author : P. K. Jain,Khalil Ahmad,Om P. Ahuja
• Publisher : New Age International
• Release : 23 March 1995

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

• Author : Adam Bobrowski
• Publisher : Cambridge University Press
• Release : 11 August 2005

This text presents selected areas of functional analysis that can facilitate an understanding of ideas in probability and stochastic processes. Topics covered include basic Hilbert and Banach spaces, weak topologies and Banach algebras, and the theory ofsemigroups of bounded linear operators.

• Author : S. Kesavan
• Publisher : Springer
• Release : 15 January 2009

The material presented in this book is suited for a first course in Functional Analysis which can be followed by Masters students. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of various theorems via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. In fact, this book will be particularly useful for students who would like to pursue a research career

• Author : Eberhard Zeidler
• Publisher : Springer Science & Business Media
• Release : 06 December 2012

The second part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, and their substantial applications. The book addresses undergraduates and beginning graduates of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world and which play an important role in the history of mathematics. The books approach is to attempt to determine the most important applications. These concern integral equations, differential equations, bifurcation theory, the

• Author : Nikolaos S. Papageorgiou,Patrick Winkert
• Publisher : Walter de Gruyter GmbH & Co KG
• Release : 06 August 2018

The aim of this book is to provide a concise but complete introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. This volume gathers the mathematical background needed in order to conduct research or to deal with theoretical problems and applications using the tools of nonlinear functional analysis. Contents Basic Topology Measure Theory Basic Functional Analysis Banach Spaces of Functions and Measures Convex Functions –

• Author : Aleksandr I︠A︡kovlevich Khelemskiĭ
• Publisher : American Mathematical Soc.
• Release : 23 March 2023

Interpreting ""quantized coefficients"" as finite rank operators in a fixed Hilbert space allows the author to replace matrix computations with algebraic techniques of module theory and tensor products, thus achieving a more invariant approach to the subject.

• Author : Karen Saxe
• Publisher : Springer Science & Business Media
• Release : 17 April 2013

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.

• Author : C. Costara,D. Popa
• Publisher : Springer Science & Business Media
• Release : 14 March 2013

This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counter-examples, and applications for the basic notions usually presented in an introductory course in Functional Analysis. Three comprehensive sections cover the broad topic of functional analysis. A large number of exercises on the weak topologies is included.

• Author : Svetlin G. Georgiev,Khaled Zennir
• Publisher : Walter de Gruyter GmbH & Co KG
• Release : 17 June 2019

This book on functional analysis covers all the basics of the subject (normed, Banach and Hilbert spaces, Lebesgue integration and spaces, linear operators and functionals, compact and self-adjoint operators, small parameters, fixed point theory) with a strong focus on examples, exercises and practical problems, thus making it ideal as course material but also as a reference for self-study.

• Author : A. Wilansky
• Publisher : Elsevier
• Release : 01 April 2000

Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.

• Author : Eduardo H. Zarantonello
• Publisher : Academic Press
• Release : 10 May 2014

Contributions to Nonlinear Functional Analysis contains the proceedings of a Symposium on Nonlinear Functional Analysis, held in Madison, Wisconsin, on April 12-14, 1971, under the sponsorship of the University of Wisconsin's Mathematics Research Center. The symposium provided a forum for discussing various topics related to nonlinear functional analysis, from transversality in nonlinear eigenvalue problems to monotonicity methods in Hilbert spaces and some applications to nonlinear partial differential equations. Comprised of 15 chapters, this book begins by presenting an extension of Leray-Schauder degree

• Author : Alberto Bressan
• Publisher : American Mathematical Society
• Release : 03 December 2021

This textbook is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations. The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics. Enough of the theory of Sobolev spaces and semigroups of linear operators is included as needed to develop significant applications to elliptic, parabolic, and hyperbolic PDEs. Throughout the book, care has been taken

• Author : Martin Buntinas
• Publisher : Cambridge University Press
• Release : 20 January 2022

This advanced undergraduate/beginning graduate text covers measure theory and discrete aspects of functional analysis, with 760 exercises.

• Author : Thomas Bloor,Meriel Bloor
• Publisher : Routledge
• Release : 05 March 2013

The Functional Analysis of English is an introduction to the analysis and description of English, based on the principles of systemic functional linguistics. It sets out the tools and analytic techniques of Hallidayan grammar with clear explanations of terminology and illustrates these with examples from a variety of texts, including science, travel, history and literary sources. This revised third edition incorporates references to recent research, better explanations of complex problems, and additional exercises. Key features: an updated overview of applications

• Author : Carlos A. de Moura
• Publisher : Springer Nature
• Release : 13 October 2022

This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don’t have a strong background in this branch of mathematics. For every tool, this work emphasizes the motivation, the justification for the choices made, and the right way to employ the techniques. Proofs