BOUNDED PSEUDO-AMENABILITY AND CONTRACTIBILITY OF CERTAIN BANACH ALGEBRAS

Prof. Hasan Pourmahmood Aghababa, Mohammad Hosein Sattari, Hamid Shafie-Asl

Abstract


The notion of bounded pseudo-amenability was introduced by Y. Choi and etal. in [CGZ]. In this paper, similarly, we dene boundedly pseudo-contractibility and then investigate bounded pseudo-amenability and contractibility of various classes of Banach algebras including those related to locally compact groups and discrete semigroups. We also introduce a multiplier bounded version of approximate biprojectivity for Banach algebras and determine its relation to bounded pseudo-amenability and contractibility.


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