Johnson pseudo-contractibility of certain Banach algebras and their nilpotent ideals
Abstract
In this paper, we study the notion of Johnson pseudo-contractibility for certain Banach algebras. For a bicyclic semigroup S, we show that 1(S) is not Johnson pseudo-contractible. Also for a Johnson pseudo-contractible Banach algebra A, we show that A has no non-zero complemented closed nilpotent ideal.
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