Characterizations of C* Algebras
Title | Characterizations of C* Algebras PDF eBook |
Author | Robert Doran |
Publisher | CRC Press |
Total Pages | 447 |
Release | 2018-05-11 |
Genre | Mathematics |
ISBN | 1351461788 |
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
Title | Characterizations of C* Algebras PDF eBook |
Author | Robert Doran |
Publisher | Routledge |
Total Pages | 450 |
Release | 2018-05-11 |
Genre | Mathematics |
ISBN | 135146177X |
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.
Characterization of C(x) among its Subalgebras
Title | Characterization of C(x) among its Subalgebras PDF eBook |
Author | R. B. Burckel |
Publisher | CRC Press |
Total Pages | 182 |
Release | 2020-11-26 |
Genre | Mathematics |
ISBN | 100015419X |
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
Title | C*-Algebras and Operator Theory PDF eBook |
Author | Gerald J. Murphy |
Publisher | Academic Press |
Total Pages | 297 |
Release | 2014-06-28 |
Genre | Mathematics |
ISBN | 0080924964 |
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
Title | A Groupoid Approach to C*-Algebras PDF eBook |
Author | Jean Renault |
Publisher | Springer |
Total Pages | 164 |
Release | 2006-11-15 |
Genre | Mathematics |
ISBN | 3540392181 |
C* - Algebras and Numerical Analysis
Title | C* - Algebras and Numerical Analysis PDF eBook |
Author | Ronald Hagen |
Publisher | CRC Press |
Total Pages | 388 |
Release | 2000-09-07 |
Genre | Mathematics |
ISBN | 9780824704605 |
"Analyzes algebras of concrete approximation methods detailing prerequisites, local principles, and lifting theorems. Covers fractality and Fredholmness. Explains the phenomena of the asymptotic splitting of the singular values, and more."
Dimensions and $C^\ast $-Algebras
Title | Dimensions and $C^\ast $-Algebras PDF eBook |
Author | Edward G. Effros |
Publisher | American Mathematical Soc. |
Total Pages | 90 |
Release | 1981 |
Genre | Mathematics |
ISBN | 0821816977 |
Discusses elementary algebras and $C DEGREES*$-algebras, namely those which are direct limits of complex semi simple al