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- W2951844497 abstract "For a locally compact group $G$, let $A(G)$ be its Fourier algebra, let $M_{cb}A(G)$ denote the completely bounded multipliers of $A(G)$, and let $A_{Mcb}(G)$ stand for the closure of $A(G)$ in $M_{cb}A(G)$. We characterize the norm one idempotents in $M_{cb}A(G)$: the indicator function of a set $E subset G$ is a norm one idempotent in $M_{cb}A(G)$ if and only if $E$ is a coset of an open subgroup of $G$. As applications, we describe the closed ideals of $A_{Mcb}(G)$ with an approximate identity bounded by 1, and we characterize those $G$ for which $A_{Mcb}(G)$ is 1-amenable in the sense of B. E. Johnson. (We can even slightly relax the norm bounds.)" @default.
- W2951844497 created "2019-06-27" @default.
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- W2951844497 date "2008-06-28" @default.
- W2951844497 modified "2023-09-27" @default.
- W2951844497 title "Norm one idempotent cb-multipliers with applications to the Fourier algebra in the cb-multiplier norm" @default.
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