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Pré-Publication, Document De Travail Année : 2011

Noncommutative Figa-Talamanca-Herz algebras for Schur multipliers

Résumé

We introduce a noncommutative analogue of the Figá-Talamanca-Herz algebra $A_p(G)$ on the natural predual of the operator space $\frak{M}_{p,cb}$ of completely bounded Schur multipliers on Schatten space $S_p$. We determine the isometric Schur multipliers and prove that the space $\frak{M}_{p}$ of bounded Schur multipliers on Schatten space $S_p$ is the closure in the weak operator topology of the span of isometric multipliers.

Dates et versions

hal-00647342 , version 1 (01-12-2011)

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Cédric Arhancet. Noncommutative Figa-Talamanca-Herz algebras for Schur multipliers. 2011. ⟨hal-00647342⟩
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