The Twisted Hilbert Space Ideals
Functional Analysis
2021-12-08 v1
Abstract
We study those operators on a Hilbert space that can be lifted / extended to any twisted Hilbert space. We prove that these form an ideal of operators which contains all the Schatten classes. We characterize those multiplication operators on that are liftable / extensible through centralizers.
Cite
@article{arxiv.2112.03852,
title = {The Twisted Hilbert Space Ideals},
author = {Félix Cabello Sánchez and Ricardo García},
journal= {arXiv preprint arXiv:2112.03852},
year = {2021}
}