A Maurey Type Result for Operator Spaces
نویسندگان
چکیده
The little Grothendieck theorem for Banach spaces says that every bounded linear operator between C(K) and l2 is 2-summing. However, it is shown in [7] that the operator space analogue fails. Not every cb-map v : K → OH is completely 2-summing. In this paper, we show an operator space analogue of Maurey’s theorem : Every cb-map v : K → OH is (q, cb)-summing for any q > 2 and hence admits a factorization ‖v(x)‖ ≤ c(q)‖v‖cb‖axb‖q with a, b in the unit ball of the Schatten class S2q .
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