Entropy Numbers of General Diagonal Operators

  • Thomas Kuhn
DOI: https://doi.org/10.5209/rev_REMA.2005.v18.n2.16697

Abstract

We determine the asymptotic behavior of the entropy numbers of diagonal operators D : `p ! `q, (xk) 7! (_kxk), 0 < p, q _ 1, under mild regularity and decay conditions on the generating sequence (_k). Our results extend the known estimates for polynomial and logarithmic diagonals (_k). Moreover, we also consider some exotic intermediate examples like _k = exp(−plog k).

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Published
2005-09-27
How to Cite
Kuhn T. (2005). Entropy Numbers of General Diagonal Operators. Revista Matemática Complutense, 18(2), 479-491. https://doi.org/10.5209/rev_REMA.2005.v18.n2.16697
Issue
Vol. 18 No. 2 (2005)
Section
Articles

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