Extensions of multilinear operators and Banach space properties
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2003
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Cambridge University Press
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Gutiérrez, J. M. & Villanueva Díez, I. «Extensions of Multilinear Operators and Banach Space Properties». Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol. 133, n.o 3, junio de 2003, pp. 549-66. DOI.org (Crossref), https://doi.org/10.1017/S0308210500002535.
Abstract
A new characterization of the Dunford-Pettis property in terms of the extensions of multilinear operators to the biduals is obtained. For the first time, multilinear characterizations of the reciprocal Dunford-Pettis property and Pelczynski's property (V) are also found. Polynomial and holomorphic versions of these properties are given as well.