Approximate Connes-amenability of dual Banach algebras
نویسندگان
چکیده
منابع مشابه
Bounded approximate connes-amenability of dual Banach algebras
We study the notion of bounded approximate Connes-amenability for dual Banach algebras and characterize this type of algebras in terms of approximate diagonals. We show that bounded approximate Connes-amenability of dual Banach algebras forces them to be unital. For a separable dual Banach algebra, we prove that bounded approximate Connes-amenability implies sequential approximat...
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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 کاملbounded approximate connes-amenability of dual banach algebras
we study the notion of bounded approximate connes-amenability for dual banach algebras and characterize this type of algebras in terms of approximate diagonals. we show that bounded approximate connes-amenability of dual banach algebras forces them to be unital. for a separable dual banach algebra, we prove that bounded approximate connes-amenability implies sequential approximate...
متن کاملOn φ-Connes amenability of dual Banach algebras
Let φ be a w-continuous homomorphism from a dual Banach algebra to C. The notion of φ-Connes amenability is studied and some characterizations is given. A type of diagonal for dual Banach algebras is dened. It is proved that the existence of such a diagonal is equivalent to φ-Connes amenability. It is also shown that φ-Connes amenability is equivalent to so-called φ-splitting of a certain short...
متن کامل$varphi$-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS
In this paper we define $varphi$-Connes module amenability of a dual Banach algebra $mathcal{A}$ where $varphi$ is a bounded $w_{k^*}$-module homomorphism from $mathcal{A}$ to $mathcal{A}$. We are mainly concerned with the study of $varphi$-module normal virtual diagonals. We show that if $S$ is a weakly cancellative inverse semigroup with subsemigroup $E$ of idemp...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2012
ISSN: 1370-1444
DOI: 10.36045/bbms/1337864267