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

Author

Listed:
  • Ali Ghavabeshi

    (Shahid Chamran University of Ahvaz)

  • Ali Darabi

    (Shahid Chamran University of Ahvaz)

  • Abdolmohammad Forouzanfar

    (Shahid Chamran University of Ahvaz)

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.

Suggested Citation

  • Ali Ghavabeshi & Ali Darabi & Abdolmohammad Forouzanfar, 2023. "Essential $$\varphi $$ φ -amenability and essential character amenability of Fréchet algebras," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(1), pages 97-109, March.
  • Handle: RePEc:spr:indpam:v:54:y:2023:i:1:d:10.1007_s13226-022-00234-9
    DOI: 10.1007/s13226-022-00234-9
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