Optimal Domain and Integral Extension of Operators : Acting in Function Spaces

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 exte...

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Những tác giả chính: Okada, Susumu, Ricker, Werner Joseph, 1954- (Tác giả), Sánchez Pérez, Enrique A. (Tác giả), Ricker, Werner J. (Tác giả)
Định dạng: Livre numérique
Ngôn ngữ:Anglais
Được phát hành: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Phiên bản:1st ed. 2008.
Loạt:Operator Theory: Advances and Applications 180
Những chủ đề:
Truy cập trực tuyến:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Chú thích: L'impression du document génère 426 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Optimal domain and integral extension of operators, acting in function spaces, Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez, 2008, Basel, Birkhäuser, 1 vol. (XII-400 p.), Operator theory, 978-3-7643-8647-4
• Optimal Domain and Integral Extension of Operators, Texte imprimé, 9783764394790
• Optimal domain and integral extension of operators, acting in function spaces, Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez, 2008, Basel, Birkhäuser, 1 vol. (XII-400 p.), Operator theory, 978-3-7643-8647-4
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245 1 0 |a Optimal Domain and Integral Extension of Operators :  |b Acting in Function Spaces   |c Susumu Okada, Werner J. Ricker, Enrique A. Sánchez Pérez. 
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505 1 |a Quasi-Banach Function Spaces Vector Measures and Integration Operators Optimal Domains and Integral Extensions p-th Power Factorable Operators Factorization of p-th Power Factorable Operators through Lq-spaces Operators from Classical Harmonic Analysis 
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520 |a 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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700 1 |a Sánchez Pérez, Enrique A.  |4 aut 
700 1 |a Ricker, Werner J.  |4 aut 
700 1 |a Sánchez Pérez, Enrique A.  |4 aut 
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