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Geometry of State Spaces of Operator Algebras

In this book we give a complete geometric description of state spaces of operator algebras, Jordan as well as associative. That is, we give axiomatic characterizations of those convex sets that are state spaces of C*-algebras and von Neumann algebras, together with such characterizations for the nor...

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Bibliographic Details
Main Authors: Alfsen, Erik M., Shultz, Frederic W. (Author)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser 2003, 2003
Edition:1st ed. 2003
Series:Mathematics: Theory & Applications
Subjects:
Algebra
Operator Theory
Mathematical Physics
Applications Of Mathematics
Mathematics
Theoretical, Mathematical And Computational Physics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I: Jordan Algebras and Their State Spaces
  • 1: JB-algebras
  • 2: JBW-algebras
  • 3: Structure of JBW-algebras
  • 4: Representations of JB-algebras
  • 5: State Spaces of Jordan Algebras
  • 6: Dynamical Correspondences
  • II: Convexity and Spectral Theory
  • 7: General Compressions
  • 8: Spectral Theory
  • III: State Space Characterizations
  • 9: Characterization of Jordan Algebra State Spaces
  • 10: Characterization of Normal State Spaces of von Neumann Algebras
  • 11: Characterization of C*-algebra State Spaces

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