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Generalized notions of character amenability

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Abstract

In this paper, the concepts of approximate character amenability (contractibility), uniform approximate character amenability (contractibility) and w*-approximate character amenability are introduced. We are concerned with the relations among the generalized concepts of character amenability for Banach algebras. We show that approximate character amenability, w*-approximate character amenability and approximate character contractibility are the same properties, as uniform approximate character amenability and character amenability, as uniform approximate character contractibility and character contractibility. The general theory for these concepts is also developed. Moreover, approximate character amenability of several concrete classes of Banach algebras related to locally compact groups and also some discrete semigroups is considered.

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Authors and Affiliations

  1. Department of Mathematics, University of Tabriz, Tabriz, 5166616471, Iran

    Hasan Pourmahmood Aghababa

  2. Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, P. R. China

    Luo Yi Shi

  3. Tianjin Vocational Institute, Tianjin, 300410, P. R. China

    Yu Jing Wu

Authors
  1. Hasan Pourmahmood Aghababa
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  2. Luo Yi Shi
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  3. Yu Jing Wu
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Correspondence to Hasan Pourmahmood Aghababa.

Additional information

The second author is supported by National Natural Science Foundation of China (Grant No. 11226125)

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Aghababa, H.P., Shi, L.Y. & Wu, Y.J. Generalized notions of character amenability. Acta. Math. Sin.-English Ser. 29, 1329–1350 (2013). https://doi.org/10.1007/s10114-013-0627-4

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  • DOI: https://doi.org/10.1007/s10114-013-0627-4

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