Spaceability on some classes of Banach spaces
Functional Analysis
2022-08-09 v2
Abstract
In this paper, we study spaceability of subsets of generalized Orlicz and Lebesgue spaces associated to Banach function space. Also, we give some sufficient conditions for spaceability of subsets of a general Banach space which improves an important result on this topic. As an application, it is shown that the set of all bounded linear operators which are not positive semidefinite on a separable Hilbert space is spaceable.
Cite
@article{arxiv.2109.11025,
title = {Spaceability on some classes of Banach spaces},
author = {Alireza Bagheri Salec and Stefan Ivkovic and Seyyed Mohammad Tabatabaie},
journal= {arXiv preprint arXiv:2109.11025},
year = {2022}
}