An Introduction to Operator Algebras : Studies in Advanced Mathematics - Kehe Zhu

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An Introduction to Operator Algebras

By: Kehe Zhu

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Hardcover | 27 May 1993 | Edition Number 1

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Hardcover
168 Pages

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23.39 x 15.6 x 1.12

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An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand''s representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann''s double commutant theorem, Kaplansky''s density theorem, the (continuous, Borel, and L8) functional calculus for normal operators, and type decomposition for von Neumann algebras. Exercises are provided after each chapter.

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You Can Find This Book In

Non-Fiction Mathematics Algebra Applied Mathematics Computing & I.T.Computer Science Mathematical Theory of Computation Science Physics

Preface
Banach Algebras	p. 1
Review on Functional Analysis
Banach Algebras and the Invertible Group
The Spectrum
Multiplicative Linear Functionals
The Gelfand Transform and Applications
Examples of Maximal Ideal Spaces
Non-Unital Banach Algebras
C*-Algebras	p. 49
C*-Algebras
Commutative C*-Algebras
The Spectral Theorem and Applications
Further Applications
Polar Decomposition
Positive Linear Functionals and States
The GNS Construction
Non-Unital C*-Algebras
Von Neumann Algebras	p. 97
Strong- and Weak-Operator Topologies
Existence of Projections
The Double Commutant Theorem
The Kaplansky Density Theorem
The Borel Functional Calculus
L[infinity] as a von Neumann Algebra
Abelian von Neumann Algebras
The L[infinity]-Functional Calculus
Equivalence of Projections
A Partial Ordering
Type Decomposition
Bibliography	p. 154
Index	p. 155
Table of Contents provided by Blackwell. All Rights Reserved.

An Introduction to Operator Algebras

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Hardcover

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