TY - JOUR ID - 237 TI - \varphi-amenability of Banach algebras JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Ghaffari, Ali AU - Alinejad, Ahmad AD - Semnan University Y1 - 2012 PY - 2012 VL - 38 IS - 3 SP - 725 EP - 738 KW - Amenability KW - Banach algebras KW - $F$-algebra KW - $varphi$-amenability KW - $varphi$-mean DO - N2 - Let $A$ be an arbitrary Banach algebra and $varphi$ a homomorphism from $A$ onto $Bbb C$. Our first purpose in this paper is to give some equivalent conditions under which guarantees a $varphi$-mean of norm one. Then we find some conditions under which there exists a $varphi$-mean in the weak$^*$ cluster of ${ain A; |a|=varphi(a)=1}$ in $A^{**}$. UR - http://bims.iranjournals.ir/article_237.html L1 - http://bims.iranjournals.ir/article_237_2d7117eadedb5265aee5e2e415a2034f.pdf ER -