Articoli correlati a Local Multipliers of C*-Algebras
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Many problems in operator theory lead to the consideration ofoperator equa tions, either directly or via some reformulation. More often than not, how ever, the underlying space is too 'small' to contain solutions of these equa tions and thus it has to be 'enlarged' in some way. The Berberian-Quigley enlargement of a Banach space, which allows one to convert approximate into genuine eigenvectors, serves as a classical example. In the theory of operator algebras, a C*-algebra A that turns out to be small in this sense tradition ally is enlarged to its (universal) enveloping von Neumann algebra A". This works well since von Neumann algebras are in many respects richer and, from the Banach space point of view, A" is nothing other than the second dual space of A. Among the numerous fruitful applications of this principle is the well-known Kadison-Sakai theorem ensuring that every derivation 8 on a C*-algebra A becomes inner in A", though 8 may not be inner in A. The transition from A to A" however is not an algebraic one (and cannot be since it is well known that the property of being a von Neumann algebra cannot be described purely algebraically). Hence, ifthe C*-algebra A is small in an algebraic sense, say simple, it may be inappropriate to move on to A". In such a situation, A is typically enlarged by its multiplier algebra M(A).
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Contenuti
1. Prerequisites.- 2. The Symmetric Algebra of Quotients and its Bounded Analogue.- 3. The Centre of the Local Multiplier Algebra.- 4. Automorphisms and Derivations.- 5. Elementary Operators and Completely Bounded Mappings.- 6. Lie Mappings and Related Operators.- References.
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. No other book on C*-algebra covers local multipliers of C*-algebras This book includes applications that have not yet appeared in print, from respected experts in the fieldNo other book on C*-algebra covers local multipliers of C*-algeb. Codice articolo 4289428
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Many problems in operator theory lead to the consideration ofoperator equa tions, either directly or via some reformulation. More often than not, how ever, the underlying space is too 'small' to contain solutions of these equa tions and thus it has to be 'enlarged' in some way. The Berberian-Quigley enlargement of a Banach space, which allows one to convert approximate into genuine eigenvectors, serves as a classical example. In the theory of operator algebras, a C\*-algebra A that turns out to be small in this sense tradition ally is enlarged to its (universal) enveloping von Neumann algebra A'. This works well since von Neumann algebras are in many respects richer and, from the Banach space point of view, A' is nothing other than the second dual space of A. Among the numerous fruitful applications of this principle is the well-known Kadison-Sakai theorem ensuring that every derivation 8 on a C\*-algebra A becomes inner in A', though 8 may not be inner in A. The transition from A to A' however is not an algebraic one (and cannot be since it is well known that the property of being a von Neumann algebra cannot be described purely algebraically). Hence, ifthe C\*-algebra A is small in an algebraic sense, say simple, it may be inappropriate to move on to A'. In such a situation, A is typically enlarged by its multiplier algebra M(A). 340 pp. Englisch. Codice articolo 9781852332372
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Buch. Condizione: Neu. Neuware -Many problems in operator theory lead to the consideration ofoperator equa tions, either directly or via some reformulation. More often than not, how ever, the underlying space is too 'small' to contain solutions of these equa tions and thus it has to be 'enlarged' in some way. The Berberian-Quigley enlargement of a Banach space, which allows one to convert approximate into genuine eigenvectors, serves as a classical example. In the theory of operator algebras, a C\*-algebra A that turns out to be small in this sense tradition ally is enlarged to its (universal) enveloping von Neumann algebra A'. This works well since von Neumann algebras are in many respects richer and, from the Banach space point of view, A' is nothing other than the second dual space of A. Among the numerous fruitful applications of this principle is the well-known Kadison-Sakai theorem ensuring that every derivation 8 on a C\*-algebra A becomes inner in A', though 8 may not be inner in A. The transition from A to A' however is not an algebraic one (and cannot be since it is well known that the property of being a von Neumann algebra cannot be described purely algebraically). Hence, ifthe C\*-algebra A is small in an algebraic sense, say simple, it may be inappropriate to move on to A'. In such a situation, A is typically enlarged by its multiplier algebra M(A).Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 340 pp. Englisch. Codice articolo 9781852332372
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Many problems in operator theory lead to the consideration ofoperator equa tions, either directly or via some reformulation. More often than not, how ever, the underlying space is too 'small' to contain solutions of these equa tions and thus it has to be 'enlarged' in some way. The Berberian-Quigley enlargement of a Banach space, which allows one to convert approximate into genuine eigenvectors, serves as a classical example. In the theory of operator algebras, a C\*-algebra A that turns out to be small in this sense tradition ally is enlarged to its (universal) enveloping von Neumann algebra A'. This works well since von Neumann algebras are in many respects richer and, from the Banach space point of view, A' is nothing other than the second dual space of A. Among the numerous fruitful applications of this principle is the well-known Kadison-Sakai theorem ensuring that every derivation 8 on a C\*-algebra A becomes inner in A', though 8 may not be inner in A. The transition from A to A' however is not an algebraic one (and cannot be since it is well known that the property of being a von Neumann algebra cannot be described purely algebraically). Hence, ifthe C\*-algebra A is small in an algebraic sense, say simple, it may be inappropriate to move on to A'. In such a situation, A is typically enlarged by its multiplier algebra M(A). Codice articolo 9781852332372
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