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Amenability and Contractibility Modulo an Ideal of Banach Algebras

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  • Hamidreza Rahimi
  • Elham Tahmasebi

Abstract

We investigate the concept of amenability modulo an ideal of Banach algebra, showing that amenability modulo an ideal can be characterized by the existence of virtual and approximate diagonal modulo an ideal. We also study the concept of contractible modulo an ideal of Banach algebra. As a consequence, we prove a version of Selivanov's theorem for a large class of semigroups, including E -inversive E -semigroup and eventually inverse semigroups.

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  • Hamidreza Rahimi & Elham Tahmasebi, 2014. "Amenability and Contractibility Modulo an Ideal of Banach Algebras," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, July.
    • Handle: RePEc:hin:jnlaaa:514761
    DOI: 10.1155/2014/514761
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    Cited by:

    1. Hamidreza Rahimi & Khalil Nabizadeh, 2016. "Amenability Modulo an Ideal of Second Duals of Semigroup Algebras," Mathematics, MDPI, vol. 4(3), pages 1-7, September.

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