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Tauberian Operators (Operator Theory: Advances and Applications, 194, Band 194) - Hardcover
Buch 43 von 132: Operator Theory: Advances and Applications
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The origins of tauberian operators.- Tauberian operators. Basic properties.- Duality and examples of tauberian operators.- Tauberian operators on spaces of integrable functions.- Some applications.- Tauberian-like classes of operators.
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TAUBERIAN OPERATORS
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Tauberian Operators
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Tauberian operators were introduced to investigate a problem in summability theory from an abstract point of view. Since that introduction, they have made a deep impact on the isomorphic theory of Banach spaces. In fact, these operators have been useful in several contexts of Banach space theory that have no apparent or obvious connections. For instance, they appear in the famous factorization of Davis, Figiel, Johnson and Pelczynski [49] (henceforth the DFJP factorization), in the study of exact sequences of Banach spaces [174], in the solution of certain summability problems of tauberian type [63, 115], in the problem of the equivalence between the Krein-Milman property and the Radon-Nikodym property [151], in certain sequels of James characterization of reflexive Banach spaces [135], in the construction of hereditarily indecomposable Banach spaces [13], in the extension of the principle of local reflexivity to operators [27], in the study of certain Calkin algebras associated with the weakly compact operators [16], etc. Since the results concerning tauberian operators appear scattered throughout the literature, in this book we give a unified presentation of their properties and their main applications in functional analysis. We also describe some questions about tauberian operators that remain open.This book has six chapters and an appendix. In Chapter 1 we show how the concept of tauberian operator was introduced in the study of a classical problem in summability theory the characterization of conservative matrices that sum no bounded divergent sequences by means of functional analysis techniques. One of those solutions is due to Crawford [45], who considered the second conjugate of the operator associated with one of those matrices. 264 pp. Englisch. Bestandsnummer des Verkäufers 9783764389970
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Zustand: New. This text offers a complete exposition of the theory of tauberian operators. It describes the origins of the subject in the study of summability of series, and it covers the most recent advances, emphasizing its applications to Banach space theory. Series: Operator Theory: Advances and Applications. Num Pages: 260 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational. Dimension: 244 x 170 x 20. Weight in Grams: 638. . 2009. Hardback. . . . . Bestandsnummer des Verkäufers V9783764389970
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Gebunden. Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. First unified exposition of the theory of tauberian operators Describes a wide range of applications of the topic Self-contained and accessible for both graduate students and researchersThe origins of tauberian operators.- Tauberian. Bestandsnummer des Verkäufers 5280018
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Tauberian operators were introduced to investigate a problem in summability theory from an abstract point of view. Since that introduction, they have made a deep impact on the isomorphic theory of Banach spaces. In fact, these operators have been useful in several contexts of Banach space theory that have no apparent or obvious connections. For instance, they appear in the famous factorization of Davis, Figiel, Johnson and Pelczynski [49] (henceforth the DFJP factorization), in the study of exact sequences of Banach spaces [174], in the solution of certain summability problems of tauberian type [63, 115], in the problem of the equivalence between the Krein-Milman property and the Radon-Nikodym property [151], in certain sequels of James characterization of reflexive Banach spaces [135], in the construction of hereditarily indecomposable Banach spaces [13], in the extension of the principle of local reflexivity to operators [27], in the study of certain Calkin algebras associated with the weakly compact operators [16], etc. Since the results concerning tauberian operators appear scattered throughout the literature, in this book we give a unified presentation of their properties and their main applications in functional analysis. We also describe some questions about tauberian operators that remain open.This book has six chapters and an appendix. In Chapter 1 we show how the concept of tauberian operator was introduced in the study of a classical problem in summability theory the characterization of conservative matrices that sum no bounded divergent sequences by means of functional analysis techniques. One of those solutions is due to Crawford [45], who considered the second conjugate of the operator associated with one of those matrices. Bestandsnummer des Verkäufers 9783764389970
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Birkhäuser, Birkhäuser Nov 2009, 2009
ISBN 10: 3764389974
ISBN 13: 9783764389970
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Buch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Tauberian operators were introduced to investigate a problem in summability theory from an abstract point of view. Since that introduction, they have made a deep impact on the isomorphic theory of Banach spaces. In fact, these operators have been useful in several contexts of Banach space theory that have no apparent or obvious connections. For instance, they appear in the famous factorization of Davis, Figiel, Johnson and Pelczynski[49] (henceforth the DFJP factorization), in the study of exact sequences of Banach spaces [174], in the solution of certain summability problems of tauberian type [63, 115], in the problem of the equivalence between the Krein-Milman property and the Radon-Nikodym property [151], in certain sequels of James' characterization of reflexive Banach spaces [135], in the construction of hereditarily indecomposable Banach spaces [13], in the extension of the principle of local reflexivity to operators [27], in the study of certain Calkin algebras associated with the weakly compact operators [16], etc. Since the results concerning tauberian operators appear scattered throughout the literature, in this book we give a unified presentation of their properties and their main applications in functional analysis. We also describe some questions about tauberian operators that remain open.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 264 pp. Englisch. Bestandsnummer des Verkäufers 9783764389970
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