Separated sequences in uniformly convex Banach spaces

Details Separated sequences in uniformly convex Banach spaces Separated sequences in uniformly convex Banach spaces

2005-09-15

arxiv.org/abs/math/0509344v1

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

Mathematics

Functional Analysis

5 pages

Scientific paper

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.

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