Cohomological characterizations of character pseudo-amenable Banach algebras

COHOMOLOGICAL CHARACTERIZATIONS OF CHARACTER PSEUDO-AMENABLE BANACH ALGEBRAS

RASOUL NASR-ISFAHANI

 MEHDI NEMATI

Abstract:
For a Banach algebra A and a character  on A, we have recently introduced and studied the notion of
-pseudo-amenability of A. Here, we give some characterizations of this notion in terms of derivations
from A into various Banach A-bimodules.

Keywords and phrases: Banach algebra, pseudo-amenable, approximate diagonal, -pseudo-amenable.