Weak character amenability of Banach algebras

In the present paper we first investigate the relations between weak character amenability of A** and weak character amenability of A, where A** is the second dual algebra of A endowed with the first or second Arens product. Then we introduce and study the concept of weak (p,p)-amenability of a Banach algebra A, where o E A(A), the character space of A. We give some interesting examples and establish a characterization of weak (,)-amenability. Moreover we prove some hereditary properties and investigate weak (۰,۰)-amenability for projective tensor product AB.

کلیدواژه ها:

Derivation ، weak op-amenability ، weak ( ، )-amenability ، weak A-amenability ، Banach algebra