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Separated sequences in uniformly convex Banach spaces

Functional Analysis 2007-05-23 v1

Abstract

We prove that the unit sphere of every infinite-dimensional uniformly convex Banach space with modulus of convexity δ\delta contains a (1+12δ(23))(1+\frac12\delta(\frac23))-separated sequence.

Keywords

Cite

@article{arxiv.math/0509344,
  title  = {Separated sequences in uniformly convex Banach spaces},
  author = {Jan van Neerven},
  journal= {arXiv preprint arXiv:math/0509344},
  year   = {2007}
}

Comments

5 pages