Amenability of a Class of Banach Algebras
Taher Yazdanpanah
Department of Mathematics, Persian Gulf University, Boushehr 75169, Iran.
Maryam Momeni *
Department of Mathematics, Science and Research Branch, Islamic Azad University (IAU), Tehran 1477893855, Iran.
*Author to whom correspondence should be addressed.
Abstract
In this paper we define a new multiplication on Banach algebra A using commute idempotent endomorphisms of A. Then we consider types of amenability and contractibility of A with this new multiplication. We will show that this new Banach algebra has better amenable properties than Banach algebra A.
Keywords: Bounded endomorphisms, Derivation, Inner derivation, Amenability, Contractibility, Banach algebra, Banach module.