On Hahn-Banach Extension Property and Amenability of Abelian Groups

We study connections between the Hahn-Banach extension property and the amenability of Abelian groups. Moreover, we present an invariant version of the vector-valued variant of the Hahn-Banach theorem given by Rodriguez-Salinas and Bou in [10].

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Publication Details

Journal
Results in Mathematics
Published
2025-09-25
DOI
https://doi.org/10.1007/s00025-025-02531-1
Primary Topic
Functional Equations Stability Results
Type
article
Field-Weighted Citation Impact
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article

On Hahn-Banach Extension Property and Amenability of Abelian Groups

Roman Badora
Results in Mathematics
Functional Equations Stability Results
article

On Hahn-Banach Extension Property and Amenability of Abelian Groups

Roman Badora
article en

Abstract

We study connections between the Hahn-Banach extension property and the amenability of Abelian groups. Moreover, we present an invariant version of the vector-valued variant of the Hahn-Banach theorem given by Rodriguez-Salinas and Bou in [10].

Results in MathematicsVol. 80(7)
University of Silesia in Katowice (PL)
Openalex Percentile: Top 63%
Functional Equations Stability Results
DOIOpen Access PDFOpenAlex
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On Hahn-Banach Extension Property and Amenability of Abelian Groups — Roman Badora · Results in Mathematics (2025) | TGRS Research Map | TGRS