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On integral extensions of Banach algebras

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Abstract

We consider countable extensions of commutative and unital Banach algebras. We study these Banach algebra structures with or without assuming the continuity of the canonical injection. We also prove that a countable extension endowed with a Banach algebra norm with continuous injection is actually a finite extension.

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Acknowledgements

The authors would like to thank the referee for careful reading of the manuscript and giving useful comments and valuable suggestions, which will help to improve the paper.

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Authors and Affiliations

  1. Université Mohammed V de Rabat, E.N.S de Rabat, B. P. 5118, 10105, Rabat, Morocco

    Sara El Kinani & Rachid Choukri

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  1. Sara El Kinani
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  2. Rachid Choukri
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Correspondence to Sara El Kinani.

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El Kinani, S., Choukri, R. On integral extensions of Banach algebras. Acta Sci. Math. (Szeged) 89, 501–508 (2023). https://doi.org/10.1007/s44146-023-00091-w

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  • DOI: https://doi.org/10.1007/s44146-023-00091-w

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