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Geometry State Spaces Operator by Alfsen Erik (21 results)
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Condition: New. pp. 488 Illus.
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£ 41.16
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Geometry of State Spaces of Operator Algebras
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Add to basketCondition: New. pp. 488.
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Geometry of State Spaces of Operator Algebras (Mathematics: Theory & Applications)
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Geometry of State Spaces of Operator Algebras (Mathematics: Theory & Applications)
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Geometry of State Spaces of Operator Algebras (Hardcover)
Published by Birkhauser Boston Inc, Secaucus, 2002
ISBN 10: 0817643192 ISBN 13: 9780817643195
Language: English
Hardcover. Condition: new. Hardcover. 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. Key features include: The properties used to describe state spaces are primarily of a geometric nature, but many can also be interpreted in terms of physics.There are numerous remarks discussing these connections * A quick introduction to Jordan algebras is given; no previous knowledge is assumed and all necessary background on the subject is given * A discussion of dynamical correspondences, which tie together Lie and Jordan structures, and relate the observables and the generators of time evolution in physics * The connection with Connes' notions of orientation and homogeneity in cones is explained * Chapters conclude with notes placing the material in historical context * Prerequisites are standard graduate courses in real and complex variables, measure theory, and functional analysis * Excellent bibliography and index In the authors' previous book, "State Spaces of Operator Algebras: Basic Theory, Orientations and C*-products" (ISBN 0-8176-3890-3), the role of orientations was examined and all the prerequisites on C*- algebras and von Neumann algebras, needed for this work, were provided in detail. These requisites, as well as all relevant definitions and results with reference back to State Spaces, are summarized in an appendix, further emphasizing the self-contained nature of this work."Geometry of State Spaces of Operator Algebras" is intended for specialists in operator algebras, as well as graduate students and 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
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Geometry of State Spaces of Operator Algebras
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
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Geometry of State Spaces of Operator Algebras (Hardback or Cased Book)
Published by Birkhauser 12/13/2002, 2002
ISBN 10: 0817643192 ISBN 13: 9780817643195
Language: English
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Add to basketHardback or Cased Book. Condition: New. Geometry of State Spaces of Operator Algebras 1.89. Book.
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Geometry of State Spaces of Operator Algebras
Published by Birkhäuser Boston, Birkhäuser Boston, 2002
ISBN 10: 0817643192 ISBN 13: 9780817643195
Language: English
£ 50.85
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Add to basketBuch. Condition: 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.
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Geometry of State Spaces of Operator Algebras
Published by Birkhäuser Boston, Birkhäuser Boston Dez 2002, 2002
ISBN 10: 0817643192 ISBN 13: 9780817643195
Language: English
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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£ 46.45
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Add to basketBuch. Condition: 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.
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Add to basketCondition: New. 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.
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Geometry of State Spaces of Operator Algebras
Published by Springer-Verlag New York Inc., 2012
ISBN 10: 1461265754 ISBN 13: 9781461265757
Language: English
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
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Add to basketPaperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 706.
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Geometry of State Spaces of Operator Algebras
Published by Birkhauser Boston Inc, 2002
ISBN 10: 0817643192 ISBN 13: 9780817643195
Language: English
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
£ 57.09
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Add to basketHardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 887.
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£ 42.33
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Add to basketCondition: 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.
