Almost square dual Banach spaces
Functional Analysis
2020-03-10 v2
Abstract
We show that finite dimensional Banach spaces fail to be uniformly non locally almost square. Moreover, we construct an equivalent almost square bidual norm on As a consequence we get that every dual Banach space containing has an equivalent almost square dual norm. Finally we characterize separable real almost square spaces in terms of their position in their fourth duals.
Cite
@article{arxiv.1912.12519,
title = {Almost square dual Banach spaces},
author = {Trond A. Abrahamsen and Petr Hájek and Stanimir Troyanski},
journal= {arXiv preprint arXiv:1912.12519},
year = {2020}
}
Comments
Added a new result (Theorem 3.7) that there exists an equivalent renorming of c_0 which is M-embedded and whose bidual is ASQ. Added a couple of new paragraphs and fixed some typos