On convex total bounded sets in the space of measurable functions (Q657319)
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scientific article; zbMATH DE number 5997924
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On convex total bounded sets in the space of measurable functions |
scientific article; zbMATH DE number 5997924 |
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On convex total bounded sets in the space of measurable functions (English)
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16 January 2012
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Summary: We estimate the measure of nonconvex total boundedness in terms of simpler quantitative characteristics in the space of measurable functions \(L_0\). A Fréchet-Smulian type compactness criterion for convexly totally bounded subsets of \(L_0\) is established.
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measure of nonconvex total boundedness
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