Boundaries of Asplund spaces |
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| Authors: | B Cascales S Troyanski |
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| Institution: | a Dep. de Matemáticas, Universidad de Murcia, 30.100 Espinardo, Murcia, Spain
b Department of Mathematics, Ben Gurion University of the Negev, Beer-Sheva, Israel |
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| Abstract: | We study the relationship between the classical combinatorial inequalities of Simons and the more recent (I)-property of Fonf and Lindenstrauss. We obtain a characterization of strong boundaries for Asplund spaces using the new concept of finitely self-predictable set. Strong properties for w∗-K-analytic boundaries are established as well as a sup-lim sup theorem for Baire maps. |
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| Keywords: | Banach spaces Asplund spaces James boundary |
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