Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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𝜎-JORDAN AMENABILITY OF BANACH ALGEBRAS

  • Jun Li (Department of Mathematics and Statistics, Changshu Institute of Technology) ;
  • Lin Chen (Department of Mathematics and Statistics, Changshu Institute of Technology) ;
  • Mohammad Javad Mehdipour (Department of Mathematics, Shiraz University of Technology)
  • Received : 2023.04.25
  • Accepted : 2023.07.13
  • Published : 2024.03.20
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Abstract

In this paper, we introduce the notion of 𝜎-Jordan amenability of Banach algebras and some hereditary are investigated. Similar to Johnson's classic result, we give the notions of 𝜎-Jordan approximate and 𝜎-Jordan virtual diagonals, and find some relations between the existence of them and 𝜎-Jordan amenability.

Keywords

Acknowledgement

The authors wish to thank anonymous reviewers for their constructive and valuable suggestions which have considerably improved the presentation of the paper. This work is supported by the National Natural Science Foundation of China (No. 12061018).

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