Null sets and games in Banach spaces |
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| Authors: | Jakub Duda Boaz Tsaban |
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| Institution: | a Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel
b Department of Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel |
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| Abstract: | The notion of Aronszajn-null sets generalizes the notion of Lebesgue measure zero in the Euclidean space to infinite dimensional Banach spaces. We present a game-theoretic approach to Aronszajn-null sets, establish its basic properties, and discuss some ensuing open problems. |
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| Keywords: | 46G99 91A44 |
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