Schutt's theorem for vector-valued sequence spaces

JOURNAL OF APPROXIMATION THEORY

卷:178

Article

Edmunds, D. E.¹  Netrusov, Yu² 

[1] Univ Sussex, Dept Math, Brighton BN1 9QH, E Sussex, England

[2] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England

关键词: Entropy numbers;    Vector-valued sequences;    Schutt's theorem;    Diagonal operators;    Quasi-Banach spaces;    Two-sided estimates;   

DOI  :  10.1016/j.jat.2013.11.001

来源: Elsevier

【 摘 要 】

The entropy numbers of certain finite-dimensional operators acting between vector-valued sequence spaces are estimated, thus providing a generalisation of the famous result of Schutt. In addition, two-sided estimates of the entropy numbers of some diagonal operators are obtained. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free