9780817638900 - state spaces of operator algebras: basic theory, orientations, and c*-products di alfsen, erik m.; shultz, frederik w. (17 risultati)
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 encode…d 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.
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Hardcover.
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Hardback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days.
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Da: moluna, Greven, Germaniamoluna
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 i.
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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermaniaBuchWeltWeit Ludwig Meier e.K.
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 fascinatin…g 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. 372 pp. Englisch.
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Self-contained work, focusing on the theory of state spaces of C\*algebras and von Neumann algebras. Gives a new presentation of thetheory of orientation of state spaces of C\*-algebras that does notdepend on Jordan algebras. Also presented i…s the theory of orientationof normal state spaces of von Neumann algebras, with complete proofsfor the first time. Minimal prerequisites: knowledge from standardgraduate courses in real and complex variables, measure theory, andfunctional analysis. Intended for specialists in operator algebras, aswell as graduate students and mathematicians seeking an overview ofthe field.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 372 pp. Englisch.
