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On Approximate \(\varphi\)-Inner Amenable Banach Algebras

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Abstract

In this paper, the notion of approximate \(\varphi\)-inner amenability for a Banach algebra A, where \(\varphi :A\rightarrow {\mathbb {C}}\) is a character, is defined and studied. Some hereditary properties of this new notion and its relation with other concepts of amenability are also given. As an application, the structure of \(\theta\)-Lau product algebras and upper triangular algebras are investigated.

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Author notes

  1. Abdolrasoul Pourabbas and Amir Sahami have been contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Avenue, Tehran, 15914, Iran

    Gita Zarei & Abdolrasoul Pourabbas

  2. Department of Mathematics Faculty of Basic Science, Ilam University, P.O. Box 69315-516, Ilam, Iran

    Amir Sahami

Authors
  1. Gita Zarei
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  2. Abdolrasoul Pourabbas
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  3. Amir Sahami
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Correspondence to Abdolrasoul Pourabbas.

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Zarei, G., Pourabbas, A. & Sahami, A. On Approximate \(\varphi\)-Inner Amenable Banach Algebras. Iran J Sci Technol Trans Sci 46, 1211–1217 (2022). https://doi.org/10.1007/s40995-022-01323-4

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  • DOI: https://doi.org/10.1007/s40995-022-01323-4

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