Interpolation and extrapolation of strictly singular operators between $L_p$ spaces
Functional Analysis
2017-06-28 v1
Abstract
We study the interpolation and extrapolation properties of strictly singular operators between different spaces. To this end, the structure of strictly singular non-compact operators between spaces is analyzed. Among other things, we clarify the relation between strict singularity and the -characteristic set of an operator. In particular, Krasnoselskii's interpolation theorem for compact operators is extended to the class of strictly singular operators.
Cite
@article{arxiv.1706.08682,
title = {Interpolation and extrapolation of strictly singular operators between $L_p$ spaces},
author = {Francisco L. Hernández and Evgeny M. Semenov and Pedro Tradacete},
journal= {arXiv preprint arXiv:1706.08682},
year = {2017}
}
Comments
20 pages. To appear in Adv. Math