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• W2962751139 startingPage "1373" @default.
• W2962751139 abstract "The little Grothendieck theorem for Banach spaces says that every bounded linear operator between C ( K ) and ℓ 2 is 2-summing. However, it is shown in [M. Junge, Embedding of the operator space OH and the logarithmic ‘little Grothendieck inequality’, Invent. Math. 161 (2) (2005) 225–286] 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 ‖ a x b ‖ q with a , b in the unit ball of the Schatten class S 2 q ." @default.
• W2962751139 created "2019-07-30" @default.
• W2962751139 creator A5030843204 @default.
• W2962751139 creator A5082561914 @default.
• W2962751139 date "2008-03-01" @default.
• W2962751139 modified "2023-09-29" @default.
• W2962751139 title "A Maurey type result for operator spaces" @default.
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• W2962751139 doi "https://doi.org/10.1016/j.jfa.2007.11.003" @default.
• W2962751139 hasPublicationYear "2008" @default.
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