ARENS REGULARITY OF PROJECTIVE TENSOR PRODUCT

Mostfa Shams Kojanaghi, Kazem Haghnejad Azar

DOI Number
https://doi.org/10.22190/FUMI2005251S
First page
1251
Last page
1258

Abstract


In this paper, we study approximate identity properties, some propositions from Baker, Dales, Lau in general situations and we establish some relationships between the topological centers of module actions and factorization properties with some results in group algebras. We consider under which sufficient and necessary conditions the Banach algebra $A\widehat{\otimes}B$ is Arens regular.

Keywords

Arens regularity; tensor product; Banach algebras; group algebras.

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References


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DOI: https://doi.org/10.22190/FUMI2005251S

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