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- W2952310632 abstract "For a locally compact group $G$ and $p in (1,infty)$, we define $B_p(G)$ to be the space of all coefficient functions of isometric representations of $G$ on quotients of subspaces of $L_p$ spaces. For $p =2$, this is the usual Fourier--Stieltjes algebra. We show that $B_p(G)$ is a commutative Banach algebra that contractively (isometrically, if $G$ is amenable) contains the Figa-Talamanca--Herz algebra $A_p(G)$. If $2 leq q leq p$ or $p leq q leq 2$, we have a contractive inclusion $B_q(G) subset B_p(G)$. We also show that $B_p(G)$ embeds contractively into the multiplier algebra of $A_p(G)$ and is a dual space. For amenable $G$, this multiplier algebra and $B_p(G)$ are isometrically isomorphic." @default.
- W2952310632 created "2019-06-27" @default.
- W2952310632 creator A5046661856 @default.
- W2952310632 date "2004-02-03" @default.
- W2952310632 modified "2023-09-27" @default.
- W2952310632 title "Representations of locally compact groups on QSL_p-spaces and a p-analog of the Fourier-Stieltjes algebra" @default.
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