31 citations · 67 across the 7 of their papers we have counts for
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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 $…
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…
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…
Factorization of weakly continuous holomorphic mappings
Manuel Gonzalez, Joaquin M. Gutierrez
We prove a basic property of continuous multilinear mappings between topological vector spaces, from which we derive an easy proof of the fact that a multilinear mapping (and a pol…
Unconditionally converging polynomials on Banach spaces
Manuel Gonzalez, Joaquin M. Gutierrez
We prove that weakly unconditionally Cauchy (w.u.C.) series and unconditionally converging (u.c.) series are preserved under the action of polynomials or holomorphic functions on B…
When every polynomial is unconditionally converging
Manuel Gonzalez, Joaquin M. Gutierrez
Letting , be Banach spaces, the main two results of this paper are the following: (1) If every (linear bounded) operator is unconditionally converging, then…