Abstract
We give an example of a pair of Banach spacesE andF so that neitherE′ norF has cotype 2, but every bounded linear operator fromE intoF factors through Hilbert space.
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References
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A. Pełczyński and H. P. Rosenthal,Localization techniques in L p spaces, Studia Math.52 (1975), 263–289.
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Leung, D.H. Factoring operators through Hilbert space. Israel J. Math. 71, 225–227 (1990). https://doi.org/10.1007/BF02811886
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DOI: https://doi.org/10.1007/BF02811886