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Bounded Approximate Character Contractibility of Banach Algebras

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Abstract

The bounded approximate version of \(\varphi \)-contractibility and character contractibility is introduced and studied. These new notions are characterized in several different ways. The general theory for these concepts is developed too. Moreover, some examples are given to show that these notions are different from the others, and also bounded approximate character contractibility of some Banach algebras related to locally compact groups are investigated.

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Acknowledgements

The authors would like to thank the referee for his/her careful reading and valuable suggestions that improved the presentation of the paper.

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Authors and Affiliations

  1. Department of Mathematics, University of Tabriz, Tabriz, Iran

    H. P. Aghababa

  2. Department of Mathematics, Shahid Madani University of Azarbaijan, Tabriz, Iran

    F. Khedri

  3. Department of Mathematics, Shahid Madani University of Azarbaijan, Tabriz, Iran

    M. H. Sattari

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  1. H. P. Aghababa
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  2. F. Khedri
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  3. M. H. Sattari
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Correspondence to H. P. Aghababa.

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Aghababa, H.P., Khedri, F. & Sattari, M.H. Bounded Approximate Character Contractibility of Banach Algebras. Mediterr. J. Math. 17, 5 (2020). https://doi.org/10.1007/s00009-019-1429-4

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  • DOI: https://doi.org/10.1007/s00009-019-1429-4

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