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math.FA2000★ 15 cited
The Dunford-Pettis property on tensor products
Manuel González, Joaquín M. Gutiérrez
We show that, in some cases, the projective and the injective tensor products of two Banach spaces do not have the Dunford-Pettis property (DPP). As a consequence, we obtain that $…
math.FA2000
The polynomial property (V)
Manuel González, Joaquín M. Gutiérrez
Given Banach spaces E and F, we denote by the space of all k-homogeneous (continuous) polynomials from E into F, and by the subsp…
math.FA2000★ 2 cited
Orlicz-Pettis polynomials on Banach spaces
Manuel González, Joaquín M. Gutiérrez
We introduce the class of Orlicz-Pettis polynomials between Banach spaces, defined by their action on weakly unconditionally Cauchy series. We give a number of equivalent definitio…