Ergodicity and super weak compactness

Guillaume Grelier; Matías Raja

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arXiv · 2302.05656

Ergodicity and super weak compactness

Guillaume Grelier·Matías Raja

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Abstract

We prove that a closed convex subset of a Banach space is (super-)weakly compact if and only if it is (super)-ergodic. As a consequence we deduce that super weakly compact sets are characterized by the fixed point property for continuous affine mappings. We also prove that the M-(fixed point property for affine isometries) implies the Banach-Saks property.

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BibTeX RIS

Guillaume Grelier, Matías Raja. 2023-02-11. Ergodicity and super weak compactness. https://arxiv.org/abs/2302.05656

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