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On character amenability of restricted semigroup algebras
O. T. Mewomo,O.J. Ogunsola 장전수학회 2016 Proceedings of the Jangjeon mathematical society Vol.19 No.3
We study the character amenability of restricted semigroup algebra ℓ¹r(S) and that of the semigroup algebra ℓ¹(Sr) on restricted semigroup Sr. We work on certain semigroups such as restricted semigroups, Clifford semigroups, Brandt semigroups and semilattice. In particular, we show that for a Clifford semigroup S, the character amenability of ℓ¹(Sr) is equivalent to that of ℓ¹r (S), this is in turn equivalent to ℓ¹(S) being an amenable Banach algebra. This same result was also shown to be true for a Brandt semigroup S over a group G with a finite index set J.
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 Amenability in Banach algebras of Approximable Operators
O.T. Mewomo 장전수학회 2010 Proceedings of the Jangjeon mathematical society Vol.13 No.1
We give conditions for the Banach algebra of approximable operators on the injective tensor product between a Banach space and its dual to be amenable. In particular, we show that if dimX < ∞ and X∗ has property (A), then A((Xˇ⊗X∗)∗)and A(Xˇ⊗X∗) are both amenable. We also extend the results of the authors in [4].
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.
Common fixed points of weakly contractive and compatible maps
Gbenga Akinbo,O.T. Mewomo 장전수학회 2012 Proceedings of the Jangjeon mathematical society Vol.15 No.4
In this article, the existence of coincidence and common fixed points for two pairs of R-weakly commuting maps satisfying weakly contractive conditions is established in a metric space. It was also shown that this common fixed point can be approximated by a modified Mann iterative process. The results obtained is an improvement on the recent results of Azam and Shakeel and others.