$M_d$-multipliers of a locally compact group

Autor:	Battseren, Bat-Od
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	We show that the space $M_d(G)$ of $M_d$-multipliers of a locally compact group $G$ is isometrically isomorphic to the Banach space of bounded functionals on the $d$-fold Haagerup tensor product of $L^1(G)$ vanishing on the kernel of the convolution map. Consequently, we see that $M_d(G)$ is isometrically isomorphic to the dual space of $X_d(G)$, the completion of $L^1(G)$ in the dual of $M_d(G)$. We also show that $M_d$-type-approximation-properties are inherited to lattices. Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.09638 Zobrazit plný text záznamu View this record from Arxiv