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Characterizations of C* Algebras

Characterizations of C* Algebras
Author: Robert Doran
Publisher: CRC Press
Total Pages: 447
Release: 2018-05-11
Genre: Mathematics
ISBN: 1351461788

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The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*-algebras.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance with readers' needs ... provides complete proofs of theGelfand-Naimark theorems as well as refinements and extensions of the original axioms. . . gives applications of the theorems to topology, harmonic analysis. operator theory.group representations, and other topics ... treats Hermitian and symmetric *-algebras.algebras with and without identity, and algebras with arbitrary (possibly discontinuous)involutions . . . includes some 300 end-of-chapter exercises . . . offers appendices on functionalanalysis and Banach algebras ... and contains numerous examples and over 400 referencesthat illustrate important concepts and encourage further research.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems is an ideal text for graduatestudents taking such courses as The Theory of Banach Algebras and C*-Algebras: inaddition , it makes an outstanding reference for physicists, research mathematicians in analysis,and applied scientists using C*-algebras in such areas as statistical mechanics, quantumtheory. and physical chemistry.


Characterizations of C* Algebras

Characterizations of C* Algebras
Author: Robert Doran
Publisher: Routledge
Total Pages: 450
Release: 2018-05-11
Genre: Mathematics
ISBN: 135146177X

Download Characterizations of C* Algebras Book in PDF, ePub and Kindle

The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*-algebras.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance with readers' needs ... provides complete proofs of theGelfand-Naimark theorems as well as refinements and extensions of the original axioms. . . gives applications of the theorems to topology, harmonic analysis. operator theory.group representations, and other topics ... treats Hermitian and symmetric *-algebras.algebras with and without identity, and algebras with arbitrary (possibly discontinuous)involutions . . . includes some 300 end-of-chapter exercises . . . offers appendices on functionalanalysis and Banach algebras ... and contains numerous examples and over 400 referencesthat illustrate important concepts and encourage further research.Characterizations of C*-Algebras: The Gelfand-Naimark Theorems is an ideal text for graduatestudents taking such courses as The Theory of Banach Algebras and C*-Algebras: inaddition , it makes an outstanding reference for physicists, research mathematicians in analysis,and applied scientists using C*-algebras in such areas as statistical mechanics, quantumtheory. and physical chemistry.


Characterizations of C*-algebras

Characterizations of C*-algebras
Author: Theodore W. Palmer
Publisher:
Total Pages: 7
Release: 1967
Genre: C*-algebras
ISBN:

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A Banach algebra is a C*-algebra iff each element can be expressed as R + iJ where R and J have real numerical range. A Banach algebra with an involution is a C*-algebra iff the closed convex hull of (e to the power (iR): R = R*) is the closed unit ball. (Author).


Characterization of C(x) among its Subalgebras

Characterization of C(x) among its Subalgebras
Author: R. B. Burckel
Publisher: CRC Press
Total Pages: 182
Release: 2020-11-26
Genre: Mathematics
ISBN: 100015419X

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This book presents a detailed account of some results about subalgebras of C(X), which carry a Banach algebra norm. It is intended for students who have had a standard graduate real-variable course and be acquainted with a few odds and ends of functional analysis and complex-variables.


C*-Algebras and Operator Theory

C*-Algebras and Operator Theory
Author: Gerald J. Murphy
Publisher: Academic Press
Total Pages: 297
Release: 2014-06-28
Genre: Mathematics
ISBN: 0080924964

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This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.


A Groupoid Approach to C*-Algebras

A Groupoid Approach to C*-Algebras
Author: Jean Renault
Publisher: Springer
Total Pages: 164
Release: 2006-11-15
Genre: Mathematics
ISBN: 3540392181

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Dimensions and $C^\ast $-Algebras

Dimensions and $C^\ast $-Algebras
Author: Edward G. Effros
Publisher: American Mathematical Soc.
Total Pages: 90
Release: 1981
Genre: Mathematics
ISBN: 0821816977

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Discusses elementary algebras and $C DEGREES*$-algebras, namely those which are direct limits of complex semi simple al


The Diversity and Beauty of Applied Operator Theory

The Diversity and Beauty of Applied Operator Theory
Author: Albrecht Böttcher
Publisher: Springer
Total Pages: 506
Release: 2018-04-27
Genre: Mathematics
ISBN: 3319759965

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This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017. The contributions include both expository essays and original research papers illustrating the diversity and beauty of insights gained by applying operator theory to concrete problems. The topics range from control theory, frame theory, Toeplitz and singular integral operators, Schrödinger, Dirac, and Kortweg-de Vries operators, Fourier integral operator zeta-functions, C*-algebras and Hilbert C*-modules to questions from harmonic analysis, Monte Carlo integration, Fibonacci Hamiltonians, and many more. The book offers researchers in operator theory open problems from applications that might stimulate their work and shows those from various applied fields, such as physics, engineering, or numerical mathematics how to use the potential of operator theory to tackle interesting practical problems.