This is an announcement for the paper "Separated sequences in uniformly convex Banach spaces" by Jan van Neerven.

Abstract: We prove that the unit sphere of every infinite-dimensional uniformly convex Banach space with modulus of convexity $\delta$ contains a $(1+\frac12\delta(\frac23))$-separated sequence.

Archive classification: Functional Analysis

Mathematics Subject Classification: 46B20

Citation: Colloq. Math. 102 (2005), 147-153

Remarks: 5 pages

The source file(s), unif_convex.tex: 18207 bytes, is(are) stored in gzipped form as 0509344.gz with size 6kb. The corresponding postcript file has gzipped size 33kb.

Submitted from: J.vanNeerven@math.tudelft.nl

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http://arXiv.org/abs/math.FA/0509344

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