Characterizations of C* Algebras

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  • Characterizations of C* Algebras Book Detail

  • Author : Robert Doran
  • Release Date : 2018-05-11
  • Publisher : CRC Press
  • Genre : Mathematics
  • Pages : 447
  • ISBN 13 : 1351461788
  • File Size : 83,83 MB

Characterizations of C* Algebras by Robert Doran PDF Summary

Book Description: 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.

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Characterizations of C* Algebras

Characterizations of C* Algebras

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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 rega

Characterizations of C* Algebras

Characterizations of C* Algebras

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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 rega

Characterizations of C*-algebras

Characterizations of C*-algebras

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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

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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 phy