A Banach space with an infinite dimensional reflexive quotient algebra L(X)/SS(X)
Functional Analysis
2024-07-18 v4
Abstract
We construct a Banach space X of Gowers-Maurey type such that the algebra of bounded operators L(X) is a direct sum of an infinite dimensional reflexive Banach space and the operator ideal of strictly singular operators SS(X).
Keywords
Cite
@article{arxiv.2211.10170,
title = {A Banach space with an infinite dimensional reflexive quotient algebra L(X)/SS(X)},
author = {Anna Pelczar-Barwacz},
journal= {arXiv preprint arXiv:2211.10170},
year = {2024}
}
Comments
24 pages, the version accepted for publication, updated data