Essential $$\varphi $$ φ -amenability and essential character amenability of Fréchet algebras

Ali Ghavabeshi, Ali Darabi and Abdolmohammad Forouzanfar ()
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Ali Ghavabeshi: Shahid Chamran University of Ahvaz
Ali Darabi: Shahid Chamran University of Ahvaz
Abdolmohammad Forouzanfar: Shahid Chamran University of Ahvaz

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 1, 97-109

Abstract: Abstract For a Banach algebra A and a character $$\varphi $$ φ on A, essential $$\varphi $$ φ -amenability and essential character amenability have been introduced. These concepts will be generalized for Fréchet algebras. In this paper, some of the previous results about essential $$\varphi $$ φ -amenability and essential character amenability for the case of Banach algebras will be verified for Fréchet algebras. Finally, we give some examples related to all of the results of this work.

Keywords: Fréchet algebra; Banach algebra; Essential $$\varphi $$ φ -amenability; Essential character amenability; Derivation; Approximate identity (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00234-9

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