Description

Book Synopsis
Introduces the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators and spectral theory of self-adjoint operators. This work presents the theorems and methods of abstract functional analysis and applications of these methods to Banach algebras and theory of unbounded self-adjoint operators.

Trade Review
“This book contains a wealth of material. Each chapter concludes with a comprehensive set of exercises that serve to illustrate the theory. Solutions to the exercises are given in the final section.” -- Mathematical Reviews

Table of Contents
Hilbert spaces and basic operator theory: Linear spaces; normed spaces; first examples Hilbert spaces The dual space Bounded linear operators Spectrum. Fredholm theory of compact operators Self-adjoint operators Functions of operators; spectral decomposition Basics of functional analysis: Spectral theory of unitary operators The fundamental theorems and the basic methods Banach algebras Unbounded self-adjoint and symmetric operators in $H$ Solutions to exercises Bibliography Symbols index Subject index.

Functional Analysis An Introduction

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    A Hardback by Yuli Eidelman, Vitali Milman, Antonis Tsolomitis

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      Book details

      Publisher American Mathematical Society
      Published 11/30/2004 12:00:00 AM
      ISBN-13 9780821836460
      978-0821836460
      ISBN-10 0821836463
      Also in:
      Calculus and mathematical analysis

      Description

      Book Synopsis
      Introduces the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators and spectral theory of self-adjoint operators. This work presents the theorems and methods of abstract functional analysis and applications of these methods to Banach algebras and theory of unbounded self-adjoint operators.

      Trade Review
      “This book contains a wealth of material. Each chapter concludes with a comprehensive set of exercises that serve to illustrate the theory. Solutions to the exercises are given in the final section.” -- Mathematical Reviews

      Table of Contents
      Hilbert spaces and basic operator theory: Linear spaces; normed spaces; first examples Hilbert spaces The dual space Bounded linear operators Spectrum. Fredholm theory of compact operators Self-adjoint operators Functions of operators; spectral decomposition Basics of functional analysis: Spectral theory of unitary operators The fundamental theorems and the basic methods Banach algebras Unbounded self-adjoint and symmetric operators in $H$ Solutions to exercises Bibliography Symbols index Subject index.

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