Geometry of State Spaces of Operator Algebras (Mathematics: Theory & Applications)

Alfsen, Erik M.; Shultz, Frederic W.

ISBN 10: 0817643192 ISBN 13: 9780817643195

Edit� par Birkhäuser, 2002

Neuf(s) Couverture rigide

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Synopsis :

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.

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D�tails bibliographiques

Titre : Geometry of State Spaces of Operator ...
�diteur : Birkh�user
Date d'�dition : 2002
Reliure : Couverture rigide
Etat : Neuf

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Geometry of State Spaces of Operator Algebras

Erik M. Alfsen|Frederic W. Shultz

Edit� par Birkh�user Boston, 2002

ISBN 10 : 0817643192 ISBN 13 : 9780817643195

Neuf Couverture rigide

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Gives a quick introduction to Jordan algebras no previous knowledge is assumed and all necessary background on the subject is givenA discussion of dynamical correspondences, which tie together Lie and Jordan structures, and relate the observables. N� de r�f. du vendeur 5975774

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Geometry of State Spaces of Operator Algebras

Frederic W. Shultz (u. a.)

Edit� par Birkh�user Boston, 2002

ISBN 10 : 0817643192 ISBN 13 : 9780817643195

Neuf Couverture rigide

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Geometry of State Spaces of Operator Algebras

Erik M. Alfsen

Edit� par Birkh�user Boston, Birkh�user Boston Dez 2002, 2002

ISBN 10 : 0817643192 ISBN 13 : 9780817643195

Neuf Couverture rigide

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Buch. Etat : Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 488 pp. Englisch. N� de r�f. du vendeur 9780817643195

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Geometry of State Spaces of Operator Algebras

Frederic W. Shultz

Edit� par Birkh�user Boston Dez 2002, 2002

ISBN 10 : 0817643192 ISBN 13 : 9780817643195

Neuf Couverture rigide

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 492 pp. Englisch. N� de r�f. du vendeur 9780817643195

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Geometry of State Spaces of Operator Algebras (Mathematics: Theory & Applications)

Alfsen, Erik M.; Shultz, Frederic W.

Edit� par Birkh�user, 2002

ISBN 10 : 0817643192 ISBN 13 : 9780817643195

Neuf Couverture rigide

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Geometry of State Spaces of Operator Algebras

Alfsen, Erik M.; Shultz, Frederic W.

Edit� par Birkh�user, 2002

ISBN 10 : 0817643192 ISBN 13 : 9780817643195

Neuf Couverture rigide

Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis

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Geometry of State Spaces of Operator Algebras

Erik M. Alfsen

Edit� par Birkh�user Boston, Birkh�user Boston, 2002

ISBN 10 : 0817643192 ISBN 13 : 9780817643195

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N� de r�f. du vendeur 9780817643195

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