The bounded approximation property of variable Lebesgue spaces and nuclearity
Functional Analysis
2018-01-31 v3 Spectral Theory
Abstract
In this paper we prove the bounded approximation property for variable exponent Lebesgue spaces, study the concept of nuclearity on such spaces and apply it to trace formulae such as the Grothendieck-Lidskii formula. We apply the obtained results to derive criteria for nuclearity and trace formulae for periodic operators on in terms of global symbols.
Keywords
Cite
@article{arxiv.1503.07202,
title = {The bounded approximation property of variable Lebesgue spaces and nuclearity},
author = {Julio Delgado and Michael Ruzhansky},
journal= {arXiv preprint arXiv:1503.07202},
year = {2018}
}
Comments
18 pages. The paper has been updated by adding a remark (on page 6) on a link between bounded and metric approximation properties. This should be the final version to appear in Math Scand