Ideal norms and trigonometric orthonormal systems
Functional Analysis
2016-09-06 v1
Abstract
In this article, we characterize the --property of a Banach space by ideal norms associated with trigonometric orthonormal systems. The asymptotic behavior of that numerical parameters can be used to decide whether or not is a --space. Moreover, in the negative case, we obtain a measure that shows how far is from being a --space. The main result is, that all described parameters are equivalent also in the quantitative setting.
Keywords
Cite
@article{arxiv.math/9404208,
title = {Ideal norms and trigonometric orthonormal systems},
author = {Joerg Wenzel},
journal= {arXiv preprint arXiv:math/9404208},
year = {2016}
}