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Entropy numbers of finite-dimensional embeddings. (arXiv:1802.00572v1 [math.FA])
来源于:arXiv
Entropy numbers and covering numbers of sets and operators are well known
geometric notions, which found many applications in various fields of
mathematics, statistics, and computer science. Their values for
finite-dimensional embeddings $id:\ell_p^n\to \ell_q^n$, $0<p,q\le\infty$, are
known (up to multiplicative constants) since the pioneering work of Sch\"utt in
1984, with later improvements by Edmunds and Triebel, K\"uhn and Gu\'edon and
Litvak. The aim of this survey is to give a self-contained presentation of the
result and an overview of the different techniques used in its proof. 查看全文>>