Milman–Pettis theorem

id: milman-pettis-theorem-315-12564989
title: Milman–Pettis theorem
text: In mathematics, the Milman–Pettis theorem states that every uniformly convex Banach space is reflexive. The theorem was proved independently by D. Milman (1938) and B. J. Pettis (1939). S. Kakutani gave a different proof in 1939, and John R. Ringrose published a shorter proof in 1959. Mahlon M. Day (1941) gave examples of reflexive Banach spaces which are not isomorphic to any uniformly convex space.
brand slug: wiki
category slug: encyclopedia
description: Reflexivity of uniformly convex Banach spaces
original url: https://en.wikipedia.org/wiki/Milman%E2%80%93Pettis_theorem
date created:
date modified: 2021-07-12T20:58:16Z
main entity: {"identifier":"Q6860180","url":"https://www.wikidata.org/entity/Q6860180"}
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integrity: 14

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