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State Spaces Operator Algebras by Alfsen Erik (55 results)
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Condition: Good. Used book that is in clean, average condition without any missing pages.
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Condition: New.
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Condition: New. pp. 488.
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State Spaces of Operator Algebras (Paperback)
Published by Springer-Verlag New York Inc., New York, 2012
ISBN 10: 1461266343 ISBN 13: 9781461266341
Language: English
Paperback. Condition: new. Paperback. The topic of this book is the theory of state spaces of operator algebras and their geometry. The states are of interest because they determine representations of the algebra, and its algebraic structure is in an intriguing and fascinating fashion encoded in the geometry of the state space. From the beginning the theory of operator algebras was motivated by applications to physics, but recently it has found unexpected new applica tions to various fields of pure mathematics, like foliations and knot theory, and (in the Jordan algebra case) also to Banach manifolds and infinite di mensional holomorphy. This makes it a relevant field of study for readers with diverse backgrounds and interests. Therefore this book is not intended solely for specialists in operator algebras, but also for graduate students and mathematicians in other fields who want to learn the subject. We assume that the reader starts out with only the basic knowledge taught in standard graduate courses in real and complex variables, measure theory and functional analysis. We have given complete proofs of basic results on operator algebras, so that no previous knowledge in this field is needed. For discussion of some topics, more advanced prerequisites are needed. Here we have included all necessary definitions and statements of results, but in some cases proofs are referred to standard texts. In those cases we have tried to give references to material that can be read and understood easily in the context of our book. From the beginning the theory of operator algebras was motivated by applications to physics, but recently it has found unexpected new applica tions to various fields of pure mathematics, like foliations and knot theory, and (in the Jordan algebra case) also to Banach manifolds and infinite di mensional holomorphy. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Condition: New.
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Condition: New.
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State Spaces of Operator Algebras (Hardcover)
Published by Birkhauser Boston Inc, Secaucus, 2001
ISBN 10: 0817638903 ISBN 13: 9780817638900
Language: English
Hardcover. Condition: new. Hardcover. This self-contained work, focusing on the theory of state spaces of C*-algebras and von Neumann algebras, explains how the oriented state space geometrically determines the algebra. The theory of orientation of C*-algebra state spaces is presented with a new approach that does not depend on Jordan algebras, and the theory of orientation of normal state spaces of von Neumann algebras is presented with complete proofs for the first time. The theory of operator algebras was initially motivated by applications to physics, but has recently found unexpected new applications to fields of pure mathematics as diverse as foliations and knot theory. From the beginning the theory of operator algebras was motivated by applications to physics, but recently it has found unexpected new applica tions to various fields of pure mathematics, like foliations and knot theory, and (in the Jordan algebra case) also to Banach manifolds and infinite di mensional holomorphy. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Condition: New.
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Condition: New.
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Condition: New.
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£ 44.81
Convert currency£ 6.50 shipping from United Kingdom to U.S.A.Quantity: 1 available
Add to basketCondition: New. pp. 488 Illus.
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Condition: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.
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Condition: New.
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Condition: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide.
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Condition: As New. Unread book in perfect condition.
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Condition: As New. Unread book in perfect condition.
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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 multiple locations in the US or from the UK, depending on stock availability.
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Condition: New. pp. 488.
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Brand new book. Fast ship. Please provide full street address as we are not able to ship to P O box address.
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State Spaces of Operator Algebras: Basic Theory, Orientations, and C*-products (Mathematics: Theory & Applications)
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Geometry of State Spaces of Operator Algebras (Mathematics: Theory & Applications)
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State Spaces of Operator Algebras: Basic Theory, Orientations, and C*-products (Mathematics: Theory & Applications)
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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 (Mathematics: Theory & Applications)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
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