# Completely Continuous Linear Maps on Semigroup Algebras

## Related Articles

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This note presents a Riesz-Dunford type representation and a Bromwich type representation for uniformly continuous semigroups on a Banach space.

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We investigate the sufficient condition under which each positive b-weakly compact operator is Dunford-Pettis. We also investigate the necessary condition on which each positive b-weakly compact operator is Dunford-Pettis. Necessary condition on which each positive b-weakly compact operator is...

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We show that Xâ€¦Y , the projective tensor product of Banach spaces X and Y , has the (bounded) compact approximation property if and only if both X and Y have the same property. We also show that Xâ€¦Y has the weakly compact approximation property (W.A.P.) if both X and Y has the W.A.P....

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We prove that an operator is weak Dunford-Pettis if its adjoint is one but the converse is false in general, and we give some necessary and sufficient conditions under which each positive weak Dunford-Pettis operator has an adjoint which is weak Dunford-Pettis.

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The paper contains several characterizations of Banach lattices $$E$$ with the dual positive Schur property (i.e., $$0 \le f_n \xrightarrow {\sigma (E^*,E)} 0$$ implies $$\Vert f_n\Vert \rightarrow 0$$) and various examples of spaces having this property. We also investigate relationships...

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We discuss Caristi's fixed point theorem for mappings defined on a metric space endowed with a graph. This work should be seen as a generalization of the classical Caristi's fixed point theorem. It extends some recent works on the extension of Banach contraction principle to metric spaces with...

- Module Amenability for Semigroup Algebras. Amini, Massoud // Semigroup Forum;Sep/Oct2004, Vol. 69 Issue 2, p243
We extend the concept of amenability of a Banach algebra A to the case that there is an extra 21-module structure on A, and show that when S is an inverse semigroup with subsemigroup E of idempotents, then A =lï¿½ (S) as a Banach module over 21 = lï¿½ (E) is module amenable if and only if...

- SEMIGROUP ALGEBRAS AND THEIR WEAK MODULE AMENABILITY. Bodaghi, Abasalt // Journal of Applied Functional Analysis;Jan2012, Vol. 7 Issue 1/2, p332
In the present paper, the weak module amenability for a Banach algebra is investigated and it is proven that for an inverse semigroup S with the set of idempotents E, â„“Â¹ (S) is â„“Â¹ (E)-weakly module amenable. Also, it is shown that C * (S), the enveloping C * -algebra of...

- CO-EP BANACH ALGEBRA ELEMENTS. BENÍTEZ, JULIO; BOASSO, ENRICO; RAKOČEVIĆ, VLADIMIR // Banach Journal of Mathematical Analysis;2015, Vol. 9 Issue 1, p27
In this work, given a unital Banach algebra A and É‘ âˆˆ A such that É‘ has a Moore-Penrose inverse É‘â€ , it will be characterized when É‘É‘â€ -- É‘â€ É‘ is invertible. A particular subset of this class of objects will also be studied. In addition,...