Convex -closures versus convex norm-closures in dual Banach spaces |
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| Authors: | A.S. Granero,M. S nchez |
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| Affiliation: | aUniversidad Complutense, Fac. de Matemáticas, Dept. Análisis Matemático, Pl. de Ciencias 3, 28040 Madrid, Spain;bUniversidad Rey Juan Carlos, Fac. de CC. Experimentales y Tecnología, Dept. Matemática Aplicada, c/Tulipán s/n, 28933 Móstoles, Madrid, Spain |
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| Abstract: | A subset Y of a dual Banach space X* is said to have the property (P) if for every weak*-compact subset H of Y. The purpose of this paper is to give a characterization of the property (P) for subsets of a dual Banach space X*, and to study the behavior of the property (P) with respect to additions, unions, products, whether the closed linear hull has the property (P) when Y does, etc. We show that the property (P) is stable under all these operations in the class of weak* -analytic subsets of X*. |
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| Keywords: | Convex sets Convex w*-closure Convex norm-closure -analytic sets |
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