AMENABILITY OF VECTOR VALUED GROUP ALGEBRAS

نویسندگان

1 Department of Mathematics, Semnan University, Semnan, Iran

2 Faculty of Engineering- East Guilan, University of Guilan, Rudsar, Iran

doi
10.22044/jas.2015.610
چکیده

The purpose of this article is to develop the notions of amenabilityfor vector valued group algebras. We prove that L1(G, A) is approximatelyweakly amenable where A is a unital separable Banach algebra. We givenecessary and sufficient conditions for the existence of a left invariant meanon L∞(G, A∗), LUC(G, A∗), WAP(G, A∗) and C0(G, A∗).