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arXiv · 2302.04323

$\ell_1$ spreading models and FPP in Banach spaces with monotone Schauder basis

Cleon S. Barroso
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Abstract

The main result of this paper is a fixed point result relating the spreading model structure of Banach spaces and Schauder basis with not too large basis constant. As a striking consequence, we deduce that every super-reflexive space has the fixed point property thus solving a long-standing open question in metric fixed point theory.

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BibTeXRIS

Cleon S. Barroso. 2023-02-08. $\ell_1$ spreading models and FPP in Banach spaces with monotone Schauder basis. https://arxiv.org/abs/2302.04323

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