Measure of non-compactness

id: measure-of-non-compactness-293-9372817
title: Measure of non-compactness
text: In functional analysis, two measures of non-compactness are commonly used; these associate numbers to sets in such a way that compact sets all get the measure 0, and other sets get measures that are bigger according to "how far" they are removed from compactness. The underlying idea is the following: a bounded set can be covered by a single ball of some radius. Sometimes several balls of a smaller radius can also cover the set. A compact set in fact can be covered by finitely many balls of arbit
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original url: https://en.wikipedia.org/wiki/Measure_of_non-compactness
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date modified: 2022-08-20T11:40:51Z
main entity: {"identifier":"Q6804195","url":"https://www.wikidata.org/entity/Q6804195"}
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