On convex total bounded sets in the space of measurable functions
type: Item
instance of: scholarly article
title: On convex total bounded sets in the space of measurable functions
zbMATH Open document ID: 1242.46037
DOI: 10.1155/2012/174856
author: Marianna Tavernise
author: Alessandro Trombetta
published in: Journal of Function Spaces and Applications
publication date: 2012-01-16T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 5997924
zbMATH Keywords: measure of nonconvex total boundedness
Wikidata QID: Q58908137
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/174856
OpenAlex ID: W2087589872
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description: scientific article; zbMATH DE number 5997924