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Beschreibung
This monograph presents a complete and self-contained solution to the
long-standing problem of giving a geometric description of state
spaces of C*-algebras and von Neumann algebras, and of their Jordan
algebraic analogs (JB-algebras and JBW-algebras). The material, which
previously has appeared only in research papers and required
substantial prerequisites for a reader's understanding, is made
accessible here to a broad mathematical audience. Geometry of State
Spaces of Operator Algebras is intended for specialists in operator
algebras, as well as graduate students and mathematicians in other
areas.
long-standing problem of giving a geometric description of state
spaces of C*-algebras and von Neumann algebras, and of their Jordan
algebraic analogs (JB-algebras and JBW-algebras). The material, which
previously has appeared only in research papers and required
substantial prerequisites for a reader's understanding, is made
accessible here to a broad mathematical audience. Geometry of State
Spaces of Operator Algebras is intended for specialists in operator
algebras, as well as graduate students and mathematicians in other
areas.
This monograph presents a complete and self-contained solution to the
long-standing problem of giving a geometric description of state
spaces of C*-algebras and von Neumann algebras, and of their Jordan
algebraic analogs (JB-algebras and JBW-algebras). The material, which
previously has appeared only in research papers and required
substantial prerequisites for a reader's understanding, is made
accessible here to a broad mathematical audience. Geometry of State
Spaces of Operator Algebras is intended for specialists in operator
algebras, as well as graduate students and mathematicians in other
areas.
long-standing problem of giving a geometric description of state
spaces of C*-algebras and von Neumann algebras, and of their Jordan
algebraic analogs (JB-algebras and JBW-algebras). The material, which
previously has appeared only in research papers and required
substantial prerequisites for a reader's understanding, is made
accessible here to a broad mathematical audience. Geometry of State
Spaces of Operator Algebras is intended for specialists in operator
algebras, as well as graduate students and mathematicians in other
areas.
Zusammenfassung
This monograph presents a complete and self-contained solution to the
long-standing problem of giving a geometric description of state
spaces of C*-algebras and von Neumann algebras, and of their Jordan
algebraic analogs (JB-algebras and JBW-algebras). The material, which
previously has appeared only in research papers and required
substantial prerequisites for a reader's understanding, is made
accessible here to a broad mathematical audience. Geometry of State
Spaces of Operator Algebras is intended for specialists in operator
algebras, as well as graduate students and mathematicians in other
areas.
long-standing problem of giving a geometric description of state
spaces of C*-algebras and von Neumann algebras, and of their Jordan
algebraic analogs (JB-algebras and JBW-algebras). The material, which
previously has appeared only in research papers and required
substantial prerequisites for a reader's understanding, is made
accessible here to a broad mathematical audience. Geometry of State
Spaces of Operator Algebras is intended for specialists in operator
algebras, as well as graduate students and mathematicians in other
areas.
Inhaltsverzeichnis
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.
Details
| Erscheinungsjahr: | 2012 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Inhalt: |
xiii
467 S. |
| ISBN-13: | 9781461265757 |
| ISBN-10: | 1461265754 |
| Sprache: | Englisch |
| Herstellernummer: | 80097772 |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Alfsen, Erik M.
Shultz, Frederic W. |
| Hersteller: |
Birkhäuser
Birkhäuser Boston |
| Verantwortliche Person für die EU: | Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 27 mm |
| Von/Mit: | Erik M. Alfsen (u. a.) |
| Erscheinungsdatum: | 23.10.2012 |
| Gewicht: | 0,733 kg |
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