This is an announcement for the paper "A Maurey type result for operator spaces" by Marius Junge and Hun Hee Lee.

Abstract: The little Grothendieck theorem for Banach spaces says that every bounded linear operator between $C(K)$ and $\ell_2$ is 2-summing. However, it is shown in \cite{J05} that the operator space analogue fails. Not every cb-map $v : \K \to OH$ is completely 2-summing. In this paper, we show an operator space analogue of Maurey's theorem : Every cb-map $v : \K \to OH$ is $(q,cb)$-summing for any $q>2$ and hence admits a factorization $|v(x)| \leq c(q) |v|_{cb} |axb|_q$ with $a,b$ in the unit ball of the Schatten class $S_{2q}$.

Archive classification: math.FA math.OA

Mathematics Subject Classification: 47L25; 46B07

Remarks: 29 pages

The source file(s), MaureyTypeResultOS.tex: 99707 bytes, is(are) stored in gzipped form as 0707.0152.gz with size 25kb. The corresponding postcript file has gzipped size 184kb.

Submitted from: lee.hunhee@gmail.com

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