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Functional Analysis

Functional Analysis
  • Author : Peter D. Lax
  • Publsiher : John Wiley & Sons
  • Release : 28 August 2014
  • ISBN : 1118626745
  • Pages : 608 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKFunctional Analysis

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

Functional Analysis
  • Author : Peter D. Lax
  • Publisher : John Wiley & Sons
  • Release : 28 August 2014
GET THIS BOOKFunctional Analysis

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.

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Functional Analysis for Physics and Engineering

Functional Analysis for Physics and Engineering
  • Author : Hiroyuki Shima
  • Publisher : CRC Press
  • Release : 05 January 2016
GET THIS BOOKFunctional Analysis for Physics and Engineering

This book provides an introduction to functional analysis for non-experts in mathematics. As such, it is distinct from most other books on the subject that are intended for mathematicians. Concepts are explained concisely with visual materials, making it accessible for those unfamiliar with graduate-level mathematics. Topics include topology, vector spaces, tensor spaces, Lebesgue integrals, and operators, to name a few. Two central issues—the theory of Hilbert space and the operator theory—and how they relate to quantum physics are

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Functional Analysis

Functional Analysis
  • Author : P. K. Jain,Khalil Ahmad,Om P. Ahuja
  • Publisher : New Age International
  • Release : 23 May 1995
GET THIS BOOKFunctional Analysis

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

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Functional Analysis for Probability and Stochastic Processes

Functional Analysis for Probability and Stochastic Processes
  • Author : Adam Bobrowski
  • Publisher : Cambridge University Press
  • Release : 11 August 2005
GET THIS BOOKFunctional Analysis for Probability and Stochastic Processes

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.

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Functional Analysis

Functional Analysis
  • Author : S. Kesavan
  • Publisher : Springer
  • Release : 15 January 2009
GET THIS BOOKFunctional Analysis

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

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Applied Nonlinear Functional Analysis

Applied Nonlinear Functional Analysis
  • Author : Nikolaos S. Papageorgiou,Patrick Winkert
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 06 August 2018
GET THIS BOOKApplied Nonlinear Functional Analysis

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 –

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Applied Functional Analysis

Applied Functional Analysis
  • Author : Eberhard Zeidler
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKApplied Functional Analysis

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

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Quantum Functional Analysis

Quantum Functional Analysis
  • Author : Aleksandr I͡Akovlevich Khelemskiĭ
  • Publisher : American Mathematical Soc.
  • Release : 23 May 2022
GET THIS BOOKQuantum Functional Analysis

This book contains a systematic presentation of quantum functional analysis, a mathematical subject also known as operator space theory. Created in the 1980s, it nowadays is one of the most prominent areas of functional analysis, both as a field of active research and as a source of numerous important applications. The approach taken in this book differs significantly from the standard approach used in studying operator space theory. Instead of viewing ""quantized coefficients"" as matrices in a fixed basis, in

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Beginning Functional Analysis

Beginning Functional Analysis
  • Author : Karen Saxe
  • Publisher : Springer Science & Business Media
  • Release : 17 April 2013
GET THIS BOOKBeginning Functional Analysis

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.

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Applied Functional Analysis

Applied Functional Analysis
  • Author : Jean-Pierre Aubin
  • Publisher : John Wiley & Sons
  • Release : 30 September 2011
GET THIS BOOKApplied Functional Analysis

A novel, practical introduction to functional analysis In the twenty years since the first edition of Applied FunctionalAnalysis was published, there has been an explosion in the numberof books on functional analysis. Yet none of these offers theunique perspective of this new edition. Jean-Pierre Aubin updateshis popular reference on functional analysis with new insights andrecent discoveries-adding three new chapters on set-valued analysisand convex analysis, viability kernels and capture basins, andfirst-order partial differential equations. He presents, for thefirst time at an

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TEXTBOOK OF FUNCTIONAL ANALYSIS

TEXTBOOK OF FUNCTIONAL ANALYSIS
  • Author : V. K. KRISHNAN
  • Publisher : PHI Learning Pvt. Ltd.
  • Release : 01 January 2014
GET THIS BOOKTEXTBOOK OF FUNCTIONAL ANALYSIS

This unique, comprehensive and student-friendly book, now in its second edition, continues to hold the purpose of explaining and illustrating the use of the basic theorems in functional analysis through solved numerical problems. The text has been revised on the basis of the readers’ feedback. The book now covers ample worked-out numerical problems related to the spectral properties of compact operators on Banach spaces as well as on Hilbert spaces. Inclusion of a few problems based on the square root

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Exercises in Functional Analysis

Exercises in Functional Analysis
  • Author : C. Costara,D. Popa
  • Publisher : Springer Science & Business Media
  • Release : 14 March 2013
GET THIS BOOKExercises in Functional Analysis

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.

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Functional Analysis with Applications

Functional Analysis with Applications
  • Author : Svetlin G. Georgiev,Khaled Zennir
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 17 June 2019
GET THIS BOOKFunctional Analysis with Applications

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.

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Summability Through Functional Analysis

Summability Through Functional Analysis
  • Author : A. Wilansky
  • Publisher : Elsevier
  • Release : 01 April 2000
GET THIS BOOKSummability Through Functional Analysis

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.

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