ℓ₁ spreading models and FPP in Banach spaces with monotone Schauder basis

2023/02/08 by Barroso, Cleon S.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2302.04323

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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