Dr. Gholamreza Abbaspour
Assistant Professor
Ideal Amenability of Triangular Banach Algebras
Int. Journal of Math. Analysis, - 26, 4, 1285-1290 - February, 2010 - .
Publication year: 2010
ABSTRACT
A Banach algebra A is called ideally amenable if H 1 (A,I * )=0 for each closed ideal I of A. Let X be an A-B-module. We show that the triangular Banach algebra T=ax 0b:a∈A,x∈X,b∈B associated to X is ideally amenable if and only if A and B are ideally amenable.