We estimate the measure of nonconvex total boundedness in terms of simpler quantitative characteristicsin the space of measurable functions L0. A Fr´echet-Smulian type compactness criterion forconvexly totally bounded subsets of L0 is established.
On convex total bounded sets in the space of measurable functions
TROMBETTA A;TAVERNISE M
2012-01-01
Abstract
We estimate the measure of nonconvex total boundedness in terms of simpler quantitative characteristicsin the space of measurable functions L0. A Fr´echet-Smulian type compactness criterion forconvexly totally bounded subsets of L0 is established.File in questo prodotto:
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