Joaquín M. Gutiérrez
Technical University of Madrid
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Featured researches published by Joaquín M. Gutiérrez.
arXiv: Functional Analysis | 1999
Manuel González; Joaquín M. Gutiérrez
We characterize the holomorphic mappings f between complex Banach spaces that may be written in the form f = g ◦ T , where g is another holomorphic mapping and T is an operator belonging to a closed injective operator ideal. Analogous results are previously obtained for multilinear mappings
Journal of Mathematical Analysis and Applications | 2002
Raffaella Cilia; Maria D'Anna; Joaquín M. Gutiérrez
It is shown that, given an index m, a Banach space E is an L∞-space if and only if every 1-dominated m-homogeneous polynomial on E is integral. This extends a result for linear operators due to Stegall and Retherford.
arXiv: Functional Analysis | 2001
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 ( c 0 &[otimes ]circ; π c 0 )** fails the DPP. Since ( c 0 &[otimes ]circ; π c 0 )* does enjoy it, this provides a new space with the DPP whose dual fails to have it. We also prove that, if E and F are [Lscr ] 1 -spaces, then E &[otimes ]circ; e has the DPP if and only if both E and F have the Schur property. Other results and examples are given.
Proceedings of the Royal Society of Edinburgh: Section A Mathematics | 2003
Joaquín M. Gutiérrez; Ignacio Villanueva
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 Pelczynskis property (V) are also found. Polynomial and holomorphic versions of these properties are given as well.
Glasgow Mathematical Journal | 1995
Manuel González; Joaquín M. Gutiérrez
A Banach space
Archiv der Mathematik | 1994
Manuel González; Joaquín M. Gutiérrez
E
Transactions of the American Mathematical Society | 1993
Joaquín M. Gutiérrez; José G. Llavona
has the Grothendieck property if every (linear bounded) operator from
Journal of The Australian Mathematical Society | 2004
Raffaella Cilia; Joaquín M. Gutiérrez
E
Monatshefte für Mathematik | 1996
Manuel González; Joaquín M. Gutiérrez
into
Bulletin of The Australian Mathematical Society | 2004
Raffaella Cilia; Maria D'Anna; Joaquín M. Gutiérrez
c_0