Zur Startseite gehen
0,00 €*
Cover: 9781461265757 | Geometry of State Spaces of Operator Algebras | Shultz (u. a.) | Buch
Dekorationsartikel gehören nicht zum Leistungsumfang.
Geometry of State Spaces of Operator Algebras
Taschenbuch von Frederic W. Shultz (u. a.)
Sprache: Englisch

53,49 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
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 normed Jordan algebras called JB-algebras and JBW-algebras. These non­ associative algebras generalize C*-algebras and von Neumann algebras re­ spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras. This book gives a complete and updated presentation of the character­ ization theorems of [10]' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C*-products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and results (listed as (AI), (A2), ... ), with reference back to [AS] for proofs, so that this book is self-contained.
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 normed Jordan algebras called JB-algebras and JBW-algebras. These non­ associative algebras generalize C*-algebras and von Neumann algebras re­ spectively, and the characterization of their state spaces is not only of interest in itself, but is also an important intermediate step towards the characterization of the state spaces of the associative algebras. This book gives a complete and updated presentation of the character­ ization theorems of [10]' [11] and [71]. Our previous book State spaces of operator algebras: basic theory, orientations and C*-products, referenced as [AS] in the sequel, gives an account of the necessary prerequisites on C*-algebras and von Neumann algebras, as well as a discussion of the key notion of orientations of state spaces. For the convenience of the reader, we have summarized these prerequisites in an appendix which contains all relevant definitions and results (listed as (AI), (A2), ... ), with reference back to [AS] for proofs, so that this book is self-contained.
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.
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: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Mathematics: Theory & Applications
Inhalt: xiii
467 S.
ISBN-13: 9781461265757
ISBN-10: 1461265754
Sprache: Englisch
Herstellernummer: 80097772
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Shultz, Frederic W.
Alfsen, Erik M.
Auflage: Softcover reprint of the original 1st ed. 2003
Hersteller: Birkh„user Boston
Birkhäuser Boston
Mathematics: Theory & Applications
Maße: 235 x 155 x 27 mm
Von/Mit: Frederic W. Shultz (u. a.)
Erscheinungsdatum: 23.10.2012
Gewicht: 0,733 kg
Artikel-ID: 106029399
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.
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: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Mathematics: Theory & Applications
Inhalt: xiii
467 S.
ISBN-13: 9781461265757
ISBN-10: 1461265754
Sprache: Englisch
Herstellernummer: 80097772
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Shultz, Frederic W.
Alfsen, Erik M.
Auflage: Softcover reprint of the original 1st ed. 2003
Hersteller: Birkh„user Boston
Birkhäuser Boston
Mathematics: Theory & Applications
Maße: 235 x 155 x 27 mm
Von/Mit: Frederic W. Shultz (u. a.)
Erscheinungsdatum: 23.10.2012
Gewicht: 0,733 kg
Artikel-ID: 106029399
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9781108009423 | Electrical Researches of Henry Cavendish | Henry Cavendish | Buch
Electrical Researches of Henry Cavendish
EAN: 9781108009423
Sprache: Englisch
Von/Mit: Henry Cavendish

64,60 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9780387946542 | Partial Differential Equations | Basic Theory | Michael E. Taylor
Partial Differential Equations
Basic Theory
EAN: 9780387946542
Sprache: Englisch
Von/Mit: Michael E. Taylor

53,49 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783540099772 | A Groupoid Approach to C*-Algebras | Jean Renault | Taschenbuch | IV
A Groupoid Approach to C*-Algebras
EAN: 9783540099772
Von/Mit: Jean Renault

32,09 €*

Aktuell nicht verfügbar

Buch
Cover: 9783319192727 | Extracting Physics from Gravitational Waves | Tjonnie G. F. Li | Buch
Extracting Physics from Gravitational Waves
Testing the Strong-field Dynamics of General Relativity and Inferring the Large-scale Structure of the Universe
EAN: 9783319192727
Sprache: Englisch
Von/Mit: Tjonnie G. F. Li

106,99 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783540761549 | Learning Automata and Stochastic Optimization | K. Najim (u. a.) | xii
Learning Automata and Stochastic Optimization
EAN: 9783540761549
Sprache: Englisch
Von/Mit: K. Najim (u. a.)

53,49 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783662147610 | Handbook of Feynman Path Integrals | Frank Steiner (u. a.) | Buch | x
Handbook of Feynman Path Integrals
EAN: 9783662147610
Sprache: Englisch
Von/Mit: Frank Steiner (u. a.)

106,99 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9780857291820 | Non-Commutative Gelfand Theories | Steffen Roch (u. a.) | Taschenbuch
Non-Commutative Gelfand Theories
A Tool-Kit for Operator Theorists and Numerical Analysts
EAN: 9780857291820
Sprache: Englisch
Von/Mit: Steffen Roch (u. a.)

57,50 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783319371337 | Differential Geometry and Continuum Mechanics | Chen (u. a.) | Buch
Differential Geometry and Continuum Mechanics
EAN: 9783319371337
Sprache: Englisch
Von/Mit: Gui-Qiang G. Chen (u. a.)

106,99 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9789811601767 | Topological Dynamics and Topological Data Analysis | Devaney (u. a.)
Topological Dynamics and Topological Data Analysis
IWCTA 2018, Kochi, India, December 9¿11
EAN: 9789811601767
Sprache: Englisch
Von/Mit: Robert L. Devaney (u. a.)

192,59 €*

Aktuell nicht verfügbar

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...