Entropy numbers of vector-valued diagonal operators

Authors:
Eduard Belinsky
Affiliations:
Department of Computer Science, Mathematics and Physics, University of the West Indies, P.O. Box 64, Bridgetown, Barbados
Venue:
Journal of Approximation Theory
Year:
2002

Citing 3
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Abstract

Let Iα:lq(lp2j) → lq (l∞2j) be a diagonal operator assigning to vector-coordinate xj ∈ lp2j the vector-value j-αxj. We prove the estimates of entropy numbers of Iα. The results confirm the conjecture stated in a recent paper by Cobos and Kühn, and extend their results to quasi-Banach setting.