varphi-amenability of Banach algebras
نویسندگان
چکیده مقاله:
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 $A^{**}$.
منابع مشابه
amenability of banach algebras
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متن کاملvarphi-amenability of banach algebras
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 $a^{**}$.
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متن کامل$varphi$-connes amenability of dual banach algebras
generalizing the notion of character amenability for banach algebras, we study the concept of $varphi$-connes amenability of a dual banach algebra $mathcal{a}$ with predual $mathcal{a}_*$, where $varphi$ is a homomorphism from $mathcal{a}$ onto $bbb c$ that lies in $mathcal{a}_*$. several characterizations of $varphi$-connes amenability are given. we also prove that the follo...
متن کاملAmenability for dual Banach algebras
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عنوان ژورنال
دوره 38 شماره 3
صفحات 725- 738
تاریخ انتشار 2012-09-15
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