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Episode 1312

Milman–Pettis theorem
Sun, 2020-Dec-06 01:18 UTC
Length - 1:32

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Welcome to random Wiki of the Day where we read the summary of a random Wikipedia page every day.

The random article for Sunday, 6 December 2020 is Milman–Pettis theorem.

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.

This recording reflects the Wikipedia text as of 01:18 UTC on Sunday, 6 December 2020.

For the full current version of the article, see Milman–Pettis theorem on Wikipedia.

This podcast is produced by Abulsme Productions based on Wikipedia content and is released under a Creative Commons Attribution-ShareAlike License.

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