Synopsis
These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of "complete boundedness", which we present in detail. Using this notion, the three problems can all be formulated as asking whether "boundedness" implies "complete boundedness" for linear maps satisfying certain additional algebraic identities.
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These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of "complete boundedness", which we present in detail. Using this notion, the three problems can all be formulated as asking whether "boundedness" implies "complete boundedness" for linear maps satisfying certain additional algebraic identities. Two chapters have been added on the HALMOS and KADISON similarity problems.
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Similarity Problems and Completely Bounded Maps (Lecture Notes in Mathematics, 1618)
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Similarity Problems and Completely Bounded Maps
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C\* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of 'complete boundedness', which we present in detail. Using this notion, the three problems can all be formulated as asking whether 'boundedness' implies 'complete boundedness' for linear maps satisfying certain additional algebraic identities. 212 pp. Englisch. Seller Inventory # 9783540415244
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Similarity Problems and Completely Bounded Maps
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Includes the solution to The Halmos Problem |Two chapters have been added on the HALMOS and KADISON similarity problemsIncludes the solution to The Halmos Problem |Two chapters have been added on the HALMOS and KADISON similarity problemsInc. Seller Inventory # 4889303
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Softcover. Condition: Gut. " Gebraucht - Gut Zustand: Gut, VI, 198 pp. About this book These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of \"complete boundedness\", which we present in detail. Using this notion, the three problems can all be formulated as asking whether \"boundedness\" implies \"complete boundedness\" for linear maps satisfying certain additional algebraic identities. Two chapters have been added on the HALMOS and KADISON similarity problems. Written for researchers and graduate students ". Seller Inventory # 18165
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Similarity Problems and Completely Bounded Maps
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C\* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of 'complete boundedness', which we present in detail. Using this notion, the three problems can all be formulated as asking whether 'boundedness' implies 'complete boundedness' for linear maps satisfying certain additional algebraic identities.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 212 pp. Englisch. Seller Inventory # 9783540415244
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