Separated sequences in uniformly convex Banach spaces

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We prove that the unit sphere of every infinite-dimensional uniformly convex Banach space with modulus of convexity $δ$ contains a $(1+\frac12δ(\frac23))$-separated sequence.
5 pages

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Functional Analysis, 46B20

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http://salesiana.dossiersoluciones.com/handle/123456789/76355

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509344
 http://arxiv.org/abs/math/0509344
 Colloq. Math. 102 (2005), 147-153

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arXiv