{ "id": "math/0502021", "version": "v2", "published": "2005-02-01T17:26:40.000Z", "updated": "2005-04-20T14:47:59.000Z", "title": "On the uniform convexity of L^p", "authors": [ "Harald Hanche-Olsen" ], "comment": "V2: somewhat expanded to improve the exposition", "journal": "Proc. Amer. Math. Soc. 134 (2006), 2359-2362", "doi": "10.1090/S0002-9939-06-08366-3", "categories": [ "math.FA" ], "abstract": "We present a short, direct proof of the uniform convexity of L^p spaces for 1