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On the uniform convexity of 
Author:
Harald Hanche-Olsen
Journal:
Proc. Amer. Math. Soc. 134 (2006), 2359-2362
MSC (2000):
Primary 46E30
Posted:
February 6, 2006
MathSciNet review:
2213709
Full-text PDF Free Access
Abstract |
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Abstract: We present a short, direct proof of the uniform convexity of  spaces for  .
References
- 1.
J. A. Clarkson, Uniformly convex spaces, Trans. Amer. Math. Soc. 40 (1936), no. 3, 396-414. MR 1501880
- 2.
O. Hanner, On the uniform convexity of
 and  , Ark. Mat. 3 (1956), 239-244. MR 0077087 (17:987d)
- 3.
J. R. Ringrose, A note on uniformly convex spaces, J. London Math. Soc. 34 (1959), 92. MR 0100215 (20:6648)
- 4.
K. Ball, E. A. Carlen and E. H. Lieb, Sharp uniform convexity and smoothness inequalities for trace norms, Invent. Math. 115 (1994), no. 3, 463-482. MR 1262940 (95e:47027)
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Additional Information
Harald Hanche-Olsen
Affiliation:
Department of Mathematical Sciences, Norwegian University of Science and Technology, NO--7491 Trondheim, Norway
Email:
hanche@math.ntnu.no
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08366-3
PII:
S 0002-9939(06)08366-3
Received by editor(s):
March 9, 2005
Posted:
February 6, 2006
Communicated by:
Jonathan M. Borwein
Article copyright:
© Copyright 2006 Harald Hanche-Olsen
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