The Gelfand widths of $\ell_p$-balls for $0<p\leq 1$

Details The Gelfand widths of $\ell_p$-balls for $0<p\leq 1$ The Gelfand widths of $\ell_p$-balls for $0<p\leq 1$

2010-02-03

arxiv.org/abs/1002.0672v2

Journal of Complexity 26 (2010) 629-640

Mathematics

Functional Analysis

15 pages

Scientific paper

10.1016/j.jco.2010.04.004

We provide sharp lower and upper bounds for the Gelfand widths of
$\ell_p$-balls in the $N$-dimensional $\ell_q^N$-space for $0\leq 2$. Such estimates are highly relevant to the novel theory of compressive
sensing, and our proofs rely on methods from this area.

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