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• W3186350061 abstract "Abstract Let $mathcal{M}$ be a finite von Neumann algebra and let $E$ be an interpolation space between $L_1(0,1)$ and $L_{infty }(0,1)$. For every $qin [1,infty ]$, we introduce a general notion of a vector-valued symmetric operator space $E(mathcal{M};ell _q)$ via $K$-functional of the couple $(L_1(mathcal M;ell _q),L_{infty }(mathcal M;ell _q))$. We then establish free Rosenthal inequalities on $E(mathcal{M};ell _q)$, which provide an equivalent characterization of the quantity $|(x_k)_{kgeq 0}|_{E(mathcal{M};ell _q)},$ where $(x_k)_{kgeq 0}subset E(mathcal{M})$ is a sequence of freely independent random variables." @default.
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• W3186350061 date "2021-07-26" @default.
• W3186350061 modified "2023-10-16" @default.
• W3186350061 title "Free Rosenthal Inequalities on Vector-Valued Symmetric Operator Spaces" @default.
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• W3186350061 doi "https://doi.org/10.1093/imrn/rnab197" @default.
• W3186350061 hasPublicationYear "2021" @default.
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