A representation theorem for maxitive measures |
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| Authors: | Lech Drewnowski |
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| Institution: | Faculty of Mathematics and Computer Science, A. Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland |
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| Abstract: | A maxitive measure is a nonnegative function η on a σ-algebra Σ and such that η(Uj Aj ) = supj η(Aj) for all countable disjoint families of sets (Aj) in Σ. A representation theorem for such measures is established, and next applied to represent Köthe function M-spaces as L∞-spaces. |
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| Keywords: | 28A10 46E30 46B04 |
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