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Mathematics > Functional Analysis

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

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.
Comments: 16 pages. All comments welcome (cleonbar@mat.ufc.br)
Subjects: Functional Analysis (math.FA)
Cite as: arXiv:2302.04323 [math.FA]
  (or arXiv:2302.04323v1 [math.FA] for this version)

Submission history

From: Cleon Barroso S. [view email]
[v1] Wed, 8 Feb 2023 20:37:50 GMT (18kb)
[v2] Thu, 16 Feb 2023 14:31:45 GMT (19kb)
[v3] Mon, 20 Mar 2023 19:28:56 GMT (0kb,I)

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