Abstract
An old result of J.S. Cohen states that each p* -summing operator on a L p -space has a p* -summing dual. Also, another old result of S. Kwapień states that each p* -summing operator on a Banach space X has a p* -summing dual if and only if X is isomorphic to a quotient of some L p (µ). In this paper we prove some multilinear and polynomial variants of these results.
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