Derivations mapping into the Jacobson radical of a Banach algebra

Document Type : Research Paper

Authors

1 Departement of Mathematics, National School of Applied Sciences, Ibnou Zohr University Agadir, Morocco

2 Departement of Mathematics, National School of Applied Sciences, Ibnou Zohr University, Agadir, Morocco

Abstract

‎Let $\mathcal{A}$ be a Banach algebra with Jacobson radical $Rad_{\mathcal{A}}$ and $d$ a continuous derivation of $\mathcal{A}$‎. ‎The purpose of this article is to investigate some sufficient conditions under which $d(\mathcal{A})\subseteq Rad_{\mathcal{A}}$ from a topological point of view‎. ‎Interesting results are established with some applications‎.

Keywords

References

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Journal of Algebra and Related Topics
Volume 12, Issue 2
January 2025
Pages 75-86

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