Almost square dual Banach spaces

Trond A. Abrahamsen; Petr Hájek; Stanimir Troyanski

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arXiv · 1912.12519

Almost square dual Banach spaces

Trond A. Abrahamsen·Petr Hájek·Stanimir Troyanski

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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 $\ell_\infty.$ As a consequence we get that every dual Banach space containing $c_0$ has an equivalent almost square dual norm. Finally we characterize separable real almost square spaces in terms of their position in their fourth duals.

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BibTeX RIS

Trond A. Abrahamsen, Petr Hájek, Stanimir Troyanski. 2019-12-28. Almost square dual Banach spaces. https://arxiv.org/abs/1912.12519

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