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- W2520145195 abstract "Let $A$ be a Banach algebra with a non-empty character space. We say that a bounded net ${e_{alpha}}$ in $A$ is a bounded $Delta$-weak approximate identity for $A$ if, for each $ain A$ and compact subset $K$ of $Delta(A)$, $||widehat{e_{alpha}a}-widehat{a}||_{K}=sup_{phiin K}|phi(e_{alpha}a)-phi(a)|rightarrow 0$. For each $1<p<infty$, we prove that the Figa-Talamanca Herz algebra, $A_{p}(G)$ has a bounded $Delta$-weak approximate identity if and only if $G$ is an amenable group. Also we give a sufficient condition for amenability of group $G$." @default.
- W2520145195 created "2016-09-23" @default.
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- W2520145195 date "2014-04-08" @default.
- W2520145195 modified "2023-09-27" @default.
- W2520145195 title "Amenable groups and bounded $Delta$-weak approximate identities" @default.
- W2520145195 hasPublicationYear "2014" @default.
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