On the uniform convexity of $L^p$
Author:
Harald Hanche-Olsen
Journal:
Proc. Amer. Math. Soc. 134 (2006), 2359-2362
MSC (2000):
Primary 46E30
DOI:
https://doi.org/10.1090/S0002-9939-06-08366-3
Published electronically:
February 6, 2006
MathSciNet review:
2213709
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We present a short, direct proof of the uniform convexity of $L^p$ spaces for $1<p<\infty$.
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Additional Information
Harald Hanche-Olsen
Affiliation:
Department of Mathematical Sciences, Norwegian University of Science and Technology, NO–7491 Trondheim, Norway
ORCID:
0000-0001-7643-5869
Email:
hanche@math.ntnu.no
Received by editor(s):
March 9, 2005
Published electronically:
February 6, 2006
Communicated by:
Jonathan M. Borwein
Article copyright:
© Copyright 2006
Harald Hanche-Olsen