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Measure of non-compactness

 Home Mathematics Fields of mathematics Mathematical analysis Fields of mathematical analysis Functional analysis
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The measure of non-compactness is a concept in functional analysis that quantifies how "far" a set is from being compact. Compactness is an important property in many areas of mathematics, especially in topology and analysis, where it allows for the application of various theorems, such as the Arzelà-Ascoli theorem or the Bolzano-Weierstrass theorem.

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