Characterizations of C* Algebras

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A01=Robert Doran
Approximate Identity
Author_Robert Doran
Banach Algebra
Borel Subsets
Bounded Linear Operator
Category=PBF
Closed Convex Hull
Commutative Banach Algebra
Compact Hausdorff Space
Complete Linear Space Norm
Completely Positive
Continuous Unitary Representation
Countable Dense Subset
Cyclic Vector
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Functional Calculus
Hermitian Element
Hilbert Space
Invariant Subspace
Left Regular Representation
Lim Ii
Normed Algebra
Normed Linear Space
Positive Definite Function
Positive Functionals
pre-Hilbert Space
Shilov Boundary
USSR Academy

Product details

  • ISBN 9780367451639
  • Weight: 453g
  • Dimensions: 152 x 229mm
  • Publication Date: 02 Dec 2019
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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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.
Doran, Robert

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