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On the uniform convexity of

Author(s): Harald Hanche-Olsen
Journal: Proc. Amer. Math. Soc. 134 (2006), 2359-2362.
MSC (2000): Primary 46E30
Posted: February 6, 2006
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Abstract: We present a short, direct proof of the uniform convexity of spaces for $1<p<\infty$ .

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 $L\sp p$ and $l\sp p$ , 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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