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ON CHARACTER PSEUDO - AMENABLE SEMIGROUP ALGEBRAS
O. T. Mewomo,A. A. Mebawondu,U. O. Adiele,P. O. Olanipekun 장전수학회 2017 Proceedings of the Jangjeon mathematical society Vol.20 No.4
We study the character pseudo - amenability of semigroup algebras. We focus on certain semigroups such as inverse semigroup with uniformly locally finite idempotent set and Brandt semigroup and study the character pseudo - amenability of semigroup algebra l1(S) in relation to the semigroup S: In particular, we show that for a unital cancellative semigroup S; the character pseudo-amenability of l1(S) is equivalent to its amenability, this is in turn equivalent to S being an amenable group.
On pseudo-amenability of C(X,A) for norm irregular A
U.O. ADIELE,O.T. MEWOMO 장전수학회 2022 Proceedings of the Jangjeon mathematical society Vol.25 No.1
Let X be a compact Hausdorspace, we show that for a norm irregular Banach algebra A with a bounded approximate identity, if A has an aproximate diagonal which is bounded with respect to the multiplier norm on A^⊗A, then C(X;A) has an approximate diagonal.