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Record Nr. |
UNINA9910480570203321 |
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Titolo |
Some topological and geometrical structures in Banach spaces / / N. Ghoussoub [and three others] |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1987 |
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©1987 |
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ISBN |
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Descrizione fisica |
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1 online resource (123 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 70, Number 378 |
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Disciplina |
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Soggetti |
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Banach spaces |
Convexity spaces |
Banach spaces - Radon-Nikodym property |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"November 1987, Volume 70, Number 378 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""Contents""; ""0. Introduction""; ""I. First class functions around a subset of a Polish space""; ""A. Characterizations of first class functions around sets""; ""B. Spaces of continuous functions and convergence around sets""; ""C. Compact families of first class functions around a subset of a Polish space""; ""II. Affine and first class functions around a subset of a convex compact""; ""III. Dentability and related notions in Banach spaces""; ""A. Some geometrical properties of subsets of Banach spaces""; ""B. Extension of the above properties to operators"" |
""IV. Operators from L[sup(1)][0,1] into Banach spaces""""A. The structure of the positive face of the unit ball of L[sup(1)]""; ""B. Equimeasurable sets and Radon-Nikodym operators""; ""C. Sets of small oscillation and strongly regular operators""; ""D. Sets of regular oscillation and regular operators""; ""V. A characterization of strongly regular Banach spaces""; ""VI. On w*-regular sets in dual Banach spaces""; ""A. On the topological structure of w*-regular sets""; ""B. w*-regularity and the w*-Radon-Nikodym property""; ""C. Regular w*-compact convex sets"" |
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