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Optimal Domain and Integral Extension of Operators: Acting in Function Spaces: 180 (Operator Theory: Advances and Applications) - Tapa dura
Sinopsis
Operator theory and functional analysis have a long tradition, initially being guided by problems from mathematical physics and applied mathematics. Much of the work in Banach spaces from the 1930s onwards resulted from investigating how much real (and complex) variable function theory might be extended to fu- tions taking values in (function) spaces or operators acting in them. Many of the ?rst ideas in geometry, basis theory and the isomorphic theory of Banach spaces have vector measure-theoretic origins and can be credited (amongst others) to N. Dunford, I.M. Gelfand, B.J. Pettis and R.S. Phillips. Somewhat later came the penetratingcontributionsofA.Grothendieck,whichhavepervadedandin?uenced theshapeoffunctionalanalysisandthetheoryofvectormeasures/integrationever since. Today, each of the areas of functional analysis/operator theory, Banach spaces, and vector measures/integration is a strong discipline in its own right. However, it is not always made clear that these areas grew up together as cousins and that they had, and still have, enormous in?uences on one another. One of the aims of this monograph is to reinforce and make transparent precisely this important point.
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Reseña del editor
This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Most of the material appears in print for the first time. The book has an interdisciplinary character and is aimed at graduates, postgraduates, and researchers in modern operator theory.
Reseña del editor
This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Applications are given to Maurey-Rosenthal factorization of operators and to classical operators arising in commutative harmonic analysis. The main tool is the vector measure associated to such an operator, which produces a corresponding space of integrable functions and an integration operator.
"Sobre este título" puede pertenecer a otra edición de este libro.
- EditorialSpringer Basel AG
- Año de publicación2008
- ISBN 10 3764386479
- ISBN 13 9783764386474
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas416
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Optimal Domain And Integral Extension Of Operators: Acting In Function Spaces
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Optimal Domain and Integral Extension of Operators : Acting in Function Spaces
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Birkhäuser Basel, 2008
ISBN 10: 3764386479
ISBN 13: 9783764386474
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Optimal Domain and Integral Extension of Operators
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Optimal Domain and Integral Extension of Operators
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Optimal Domain And Integral Extension Of Operators: Acting In Function Spaces
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Optimal Domain And Integral Extension Of Operators
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Condición: 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. Nº de ref. del artículo: ABNR-144566
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OPTIMAL DOMAIN AND INTEGRAL EXTENSION OF OPERATORS: ACTING IN FUNCTION SPACES
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Optimal Domain and Integral Extension of Operators
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Springer, Berlin, Birkhäuser Basel, Birkhäuser Mai 2008, 2008
ISBN 10: 3764386479
ISBN 13: 9783764386474
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Operator theory and functional analysis have a long tradition, initially being guided by problems from mathematical physics and applied mathematics. Much of the work in Banach spaces from the 1930s onwards resulted from investigating how much real (and complex) variable function theory might be extended to fu- tions taking values in (function) spaces or operators acting in them. Many of the rst ideas in geometry, basis theory and the isomorphic theory of Banach spaces have vector measure-theoretic origins and can be credited (amongst others) to N. Dunford, I.M. Gelfand, B.J. Pettis and R.S. Phillips. Somewhat later came the penetratingcontributionsofA.Grothendieck,whichhavepervadedandin uenced theshapeoffunctionalanalysisandthetheoryofvectormeasures/integration ever since. Today, each of the areas of functional analysis/operator theory, Banach spaces, and vector measures/integration is a strong discipline in its own right. However, it is not always made clear that these areas grew up together as cousins and that they had, and still have, enormous in uences on one another. One of the aims of this monograph is to reinforce and make transparent precisely this important point. 400 pp. Englisch. Nº de ref. del artículo: 9783764386474
Cantidad disponible: 2 disponibles
Imagen de archivo
Optimal Domain And Integral Extension Of Operators
Librería: Basi6 International, Irving, TX, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Nº de ref. del artículo: ABEJUNE24-273575
Cantidad disponible: 1 disponibles