biflatness and biprojectivity of lau product of banach algebras

Biflatness and biprojectivity of Lau product of Banach algebras

Amonge other things we give sufficient and necessary conditions for the Lau product of Banachalgebras to be biflat or biprojective.

Module amenability and module biprojectivity of θ-Lau product of Banach algebras

In this paper we study the relation between module amenability of $theta$-Lau product $A×_theta B$ and that of Banach algebras $A, B$. We also discuss module biprojectivity of $A×theta B$. As a consequent we will see that for an inverse semigroup $S$, $l^1(S)×_theta l^1(S)$ is module amenable if and only if $S$ is amenable.

Cyclic amenability of Lau product and module extension Banach algebras

Recently, some results have been obtained on the (approximate) cyclic amenability of Lau product of two Banach algebras. In this paper, by characterizing of cyclic derivations on Lau product and module extension Banach algebras, we present general necessary and sufficient conditions for those to be (approximate) cyclic amenable. This not only provides new results on (approximate) cyclic amenabi...

module amenability and module biprojectivity of θ-lau product of banach algebras

in this paper we study the relation between module amenability of θ - lau product a×θb and that of banach algebras a, b. we also discuss module biprojectivity of a×θb. as a consequent we will see that for an inverse semigroup s, l 1 (s) ×θ l 1 (s) is module amenable if and only if s is amenable.

Biflatness and Biprojectivitiy of Triangular Banach Algebras

amenability of banach algebras

chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...