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This title in other editions

Other titles in the Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts series:

Functional Analysis (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)

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Functional Analysis (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) Cover

 

Synopses & Reviews

Publisher Comments:

Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, 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 real variables.

* Includes an appendix on the Riesz representation theorem.

Book News Annotation:

Designed for a two-semester course at the graduate level, this text describes the theory and applications of functional analysis. In 38 short chapters, Lax (emeritus, mathematics, New York U.) addresses such topics as Banach spaces, weak sequential topologies, the Krein- Milman theorem, the Fredholm determinant, and scattering theory. Included in the appendices are a functional analytic proof of the Riesz-Kakutani representation theorem and an outline of the theory of distributions.
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Synopsis:

Offers graduate level coverage of functional analysis, including standard topics such as topology, linear operators, and Gelfand's theory of commutative Banach algebras. Problems and exercises are included.

Synopsis:

* Includes an appendix on the Riesz representation theorem.

Synopsis:

Funktionalanalysis für Fortgeschrittene: Hier erfahren Sie alles über Topologie, lineare Operatoren, die Gelfandsche Theorie kommutativer Banach-Algebren und vieles andere. Mit durchgerechneten Beispielen und Übungsaufgaben!

Table of Contents

Foreword.

Linear Spaces.

Linear Maps.

The Hahn-Banach Theorem.

Applications of the Hahn-Banach Theorem.

Normed Linear Spaces.

Hilbert Space.

Applications of Hilbert Space Results.

Duals of Normed Linear Space.

Applications of Duality.

Weak Convergence.

Applications of Weak Convergence.

The Weak and Weak* Topologies.

Locally Convex Topologies and the Krein-Milman Theorem.

Examples of Convex Sets and their Extreme Points.

Bounded Linear Maps.

Examples of Bounded Linear Maps.

Banach Algebras and their Elementary Spectral Theory.

Gelfand's Theory of Commutative Banach Algebras.

Applications of Gelfand's Theory of Commutative Banach Algebras.

Examples of Operators and their Spectra.

Compact Maps.

Examples of Compact Operators.

Positive Compact Operators.

Fredholm's Theory of Integral Equations.

Invariant Subspaces.

Harmonic Analysis on a Halfline.

Index Theory.

Compact Symmetric Operators in Hilbert Space.

Examples of Compact Symmetric Operators.

Trace Class and Trace Formula.

Spectral Theory of Symmetric, Normal and Unitary Operators.

Spectral Theory of Self-Adjoint Operators.

Examples of Self-Adjoint Operators.

Semigroups of Operators.

Groups of Unitary Operators.

Examples of Strongly Continuous Semigroups.

Scattering Theory.

A Theorem of Beurling.

Appendix A: The Riesz-Kakutani Representation Theorem.

Appendix B: Theory of Distributions.

Appendix C: Zorn's Lemma.

Author Index.

Subject Index.

Product Details

ISBN:
9780471556046
Author:
Lax, Peter D.
Publisher:
Wiley-Interscience
Location:
New York
Subject:
Functional Analysis
Subject:
Analyse fonctionnelle
Subject:
Mathematics : Functional Analysis
Subject:
Complex & Functional Analysis
Copyright:
Edition Description:
Includes bibliographical references and indexes.
Series:
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Series Volume:
55
Publication Date:
20020404
Binding:
Electronic book text in proprietary or open standard format
Grade Level:
General/trade
Language:
English
Pages:
608
Dimensions:
9.56x6.32x1.33 in. 2.11 lbs.

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Functional Analysis (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts) New Hardcover
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$136.25 In Stock
Product details 608 pages Wiley-Interscience - English 9780471556046 Reviews:
"Synopsis" by , Offers graduate level coverage of functional analysis, including standard topics such as topology, linear operators, and Gelfand's theory of commutative Banach algebras. Problems and exercises are included.
"Synopsis" by , * Includes an appendix on the Riesz representation theorem.
"Synopsis" by , Funktionalanalysis für Fortgeschrittene: Hier erfahren Sie alles über Topologie, lineare Operatoren, die Gelfandsche Theorie kommutativer Banach-Algebren und vieles andere. Mit durchgerechneten Beispielen und Übungsaufgaben!
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