AMENABILITY OF VECTOR-VALUED GROUP ALGEBRAS

The purpose of carrying out this work is to develop the amenability notations for vector-valued group algebras. We prove that L1(G;A) is approximately weakly amenable where Ais a unital separable Banach algebra. We give the necessary, and sufficient conditions for the existence of a left invariant mean on L1(G;A ), LUC(G;A ), WAP(G;A ), and C0(G;A ).

کلیدواژه ها:

Amenability ، Banach algebras ، Derivation ، Group algebra ، Invariant mean