Embedding of Cq and Rq into noncommutative Lp -spaces, 1≤p<q≤2

被引：0

作者：

Quanhua Xu

机构：

[1] Université de Franche-Comté,Laboratoire de Mathématiques

来源：

Mathematische Annalen | 2006年 / 335卷

关键词：

Primary 46L07; Secondary 47L25; embedding; -column and ; -row spaces; noncommutative ; -spaces; interpolation;

D O I：

暂无

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摘要：

We prove that a quotient of a subspace of Cp⊕pRp (1≤p<2) embeds completely isomorphically into a noncommutative Lp -space, where Cp and Rp are respectively the p-column and p-row Hilbertian operator spaces. We also represent Cq and Rq (p<q≤2) as quotients of subspaces of Cp⊕pRp. Consequently, Cq and Rq embed completely isomorphically into a noncommutative Lp (M). We further show that the underlying von Neumann algebra M cannot be semifinite.

引用

共 14 条

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