Schutt's theorem for vector-valued sequence spaces
Spectral Theory
2013-11-12 v2 Functional Analysis
Abstract
The entropy numbers of certain finite-dimensional operators acting between vector-valued sequence spaces are estimated, thus providing a generalization of the famous result of Schutt. In addition, two-sided estimates of the entropy numbers of some diagonal operators are obtained.
Cite
@article{arxiv.1309.7885,
title = {Schutt's theorem for vector-valued sequence spaces},
author = {David E Edmunds and Yuri Netrusov},
journal= {arXiv preprint arXiv:1309.7885},
year = {2013}
}
Comments
To appear in Journal of Approximation Theory