The Weak Banach–Saks Property for Hölder Spaces

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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Publication Details

Journal
Mathematische Nachrichten
Published
2026-09-30
DOI
https://doi.org/10.1002/mana.70265
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
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article

The Weak Banach–Saks Property for Hölder Spaces

Mauro Sanchiz, Prezemysław Górka
Mathematische Nachrichten
Advanced Banach Space Theory
article

The Weak Banach–Saks Property for Hölder Spaces

Mauro Sanchiz, Prezemysław Górka
article en

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.

Mathematische Nachrichten
Warsaw University of Technology (PL), Universidad Complutense de Madrid (ES), Wyższa Szkoła Technologii Informatycznych w Warszawie (PL), Institute of Mathematical Sciences (ES)
Openalex Percentile: Top 69%
Advanced Banach Space Theory
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