AI & Computingarticle2026-09-30

The Weak Banach–Saks Property for Hölder Spaces

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Abstract

ABSTRACT We investigate the weak Banach–Saks property in the setting of Hölder spaces over metric spaces. We show that, for every infinite metric space and every , the Hölder space fails to have the weak Banach–Saks property.

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View paper (DOI)Open access versionOpenAlexMathematische NachrichtenPublished 2026-09-30

Authors: Prezemysław Górka, Mauro Sanchiz

Institutions: Universidad Complutense de Madrid, Warsaw University of Technology, Institute of Mathematical Sciences, Wyższa Szkoła Technologii Informatycznych w Warszawie