Banach algebras modelled on Banach ideal spaces

Abstract We study the Banach algebra structure with respect to point-wise multiplication of Banach ideal function and sequence spaces. Specifically, we characterize biflatness and amenability properties of Banach ideal sequence algebras.

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Publication Details

Journal
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
Published
2026-11-06
DOI
https://doi.org/10.1007/s13398-026-01948-9
Primary Topic
Advanced Banach Space Theory
Type
article
Field-Weighted Citation Impact
0.00

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article

Banach algebras modelled on Banach ideal spaces

Paweł Kolwicz, Paweł Foralewski, Krzysztof Piszczek
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas
Advanced Banach Space Theory
article

Banach algebras modelled on Banach ideal spaces

Paweł Kolwicz, Paweł Foralewski, Krzysztof Piszczek
article en

Abstract

Abstract We study the Banach algebra structure with respect to point-wise multiplication of Banach ideal function and sequence spaces. Specifically, we characterize biflatness and amenability properties of Banach ideal sequence algebras.

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A MatemáticasVol. 121(1)
Poznań University of Technology (PL), Adam Mickiewicz University in Poznań (PL)
Politechnika Poznańska
Openalex Percentile: Top 25%
Advanced Banach Space Theory
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