More on cyclic amenability of the Lau product of Banach algebras defined by a Banach algebra morphism
نویسندگان
چکیده
منابع مشابه
Cyclic amenability of Lau product and module extension Banach algebras
Recently, some results have been obtained on the (approximate) cyclic amenability of Lau product of two Banach algebras. In this paper, by characterizing of cyclic derivations on Lau product and module extension Banach algebras, we present general necessary and sufficient conditions for those to be (approximate) cyclic amenable. This not only provides new results on (approximate) cyclic amenabi...
متن کاملamenability of banach algebras
chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
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Amonge other things we give sufficient and necessary conditions for the Lau product of Banachalgebras to be biflat or biprojective.
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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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ژورنال
عنوان ژورنال: Mathematica Slovaca
سال: 2018
ISSN: 1337-2211,0139-9918
DOI: 10.1515/ms-2017-0087