An improvement of the Kolmogorov-Riesz compactness theorem

Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia
Journal article, Peer reviewed
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URI
http://hdl.handle.net/11250/2592202
Date
2018
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Original version
10.1016/j.exmath.2018.03.002
Abstract
The purpose of this short note is to provide a new and very short proof of a result by Sudakov (1957), offering an important improvement of the classical result by Kolmogorov–Riesz on compact subsets of Lebesgue spaces.
Publisher
Elsevier
Journal
Expositiones mathematicae
Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internasjonal