phi-AMENABILITY AND CHARACTER AMENABILITY OF SOME CLASSES OF BANACH ALGEBRAS

作者：Essmaili M^*; Filali M; Davidson Kenneth R

来源：Houston Journal of Mathematics, 2013, 39(2): 515-529.

• Character amenability
• semigroup algebras
• module extension Banach algebras

We study the notions of phi-amenability and character amenability of the semigroup algebra l(1) (S), where S is a semilattice. We also consider the character amenability of semigroup algebras of uniformly locally finite inverse semigroups. As a consequence, we characterize the character amenability of Brandt semigroup algebras. Moreover, we study these notions for module extension of Banach algebras with application to semigroup algebras.

• 出版日期2013