A characterization of totally normal structure |
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Authors: | Thomas Landes |
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Institution: | (1) Present address: Universität Paderborn, FB-17-Mathematik, 4790 Paderborn |
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Abstract: | In this note it is proved that a subsetA of a locally convex topological vector spaceE has normal structure with respect to every continuous seminorm onE — called totally normal structure — iff every bounded convex subset ofA is precompact. Some consequences are discussed. |
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Keywords: | |
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