TY - JOUR ID - 610 TI - AMENABILITY OF VECTOR VALUED GROUP ALGEBRAS JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Ghaffari, Ali AU - Javadi Syahkale, Seyedeh Samaneh AD - Department of Mathematics, Semnan University, Semnan, Iran AD - Faculty of Engineering- East Guilan, University of Guilan, Rudsar, Iran Y1 - 2015 PY - 2015 VL - 3 IS - 2 SP - 97 EP - 107 KW - Amenability KW - banach algebras KW - derivation KW - group algebra KW - invariant mean DO - 10.22044/jas.2015.610 N2 - 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∗). UR - https://jas.shahroodut.ac.ir/article_610.html L1 - https://jas.shahroodut.ac.ir/article_610_80140794b33ad022f3303e700e885240.pdf ER -