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An introduction to operator algebras /

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Bibliographic Details
Main Author:	Zhu, Kehe, 1961- (Author)
Corporate Authors:	Taylor & Francis, Taylor and Francis
Format:	eBook
Language:	English
Published:	Boca Raton, FL : CRC Press, an imprint of Taylor and Francis, [2018].
Series:	Studies in advanced mathematics.
Subjects:	MATHEMATICS / Applied. SCIENCE / Mathematical Physics. Operator algebras. Operatoralgebra. MATHEMATICS / Algebra / Intermediate. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

part I Banach Algebras / Kehe Zhu
chapter 1 Review on Functional Analysis / Kehe Zhu
chapter 2 Banach Algebras and the Invertible Group / Kehe Zhu
chapter 3 The Spectrum / Kehe Zhu
chapter 4 Multiplicative Linear Functionals / Kehe Zhu
chapter 5 The Gelfand Transform and Applications / Kehe Zhu
chapter 6 Examples of Maximal Ideal Spaces / Kehe Zhu
chapter 7 Non-Unital Banach Algebras / Kehe Zhu
part II C*-Algebras / Kehe Zhu
chapter 8 C*-Algebras / Kehe Zhu
chapter 9 Commutative C*-Algebras / Kehe Zhu
chapter 10 The Spectral Theorem and Applications / Kehe Zhu
chapter 11 Further Applications / Kehe Zhu
chapter 12 Polar Decomposition / Kehe Zhu
chapter 13 Positive Linear Functionals and States / Kehe Zhu
chapter 14 The GNS Construction / Kehe Zhu
chapter 15 Non-Unital C*-Algebras / Kehe Zhu
part III Von Neumann Algebras / Kehe Zhu
chapter 16 Strong- and Weak-Operator Topologies / Kehe Zhu
chapter 17 Existence of Projections / Kehe Zhu
chapter 18 The Double Commutant Theorem / Kehe Zhu
chapter 19 The Kaplansky Density Theorem / Kehe Zhu
chapter 20 The Borel Functional Calculus / Kehe Zhu
chapter 21 L∞ as a von Neumann Algebra / Kehe Zhu
chapter 22 Abelian von Neumann Algebras / Kehe Zhu
chapter 23 The L∞-Functional Calculus / Kehe Zhu
chapter 24 Equivalence of Projections / Kehe Zhu
chapter 25 A Partial Ordering / Kehe Zhu
chapter 26 Type Decomposition / Kehe Zhu.