Separated sequences in uniformly convex Banach spaces

Jan van Neerven

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Separated sequences in uniformly convex Banach spaces

Jan van Neerven

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Abstract

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.

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BibTeX RIS

Jan van Neerven. 2005-09-15. Separated sequences in uniformly convex Banach spaces. https://arxiv.org/abs/math/0509344

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