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Dive into the research topics where Joaquín M. Gutiérrez is active.

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Featured researches published by Joaquín M. Gutiérrez.


arXiv: Functional Analysis | 1999

Injective factorization of holomorphic mappings

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

Polynomial characterization of L∞-spaces

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

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 ( 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

Extensions of multilinear operators and Banach space properties

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

Polynomial Grothendieck properties

Manuel González; Joaquín M. Gutiérrez

A Banach space


Archiv der Mathematik | 1994

When every polynomial is unconditionally converging

Manuel González; Joaquín M. Gutiérrez

E


Transactions of the American Mathematical Society | 1993

Composition operators between algebras of differentiable functions

Joaquín M. Gutiérrez; José G. Llavona

has the Grothendieck property if every (linear bounded) operator from


Journal of The Australian Mathematical Society | 2004

NUCLEAR AND INTEGRAL POLYNOMIALS

Raffaella Cilia; Joaquín M. Gutiérrez

E


Monatshefte für Mathematik | 1996

Schauder type theorems for differentiable and holomorphic mappings

Manuel González; Joaquín M. Gutiérrez

into


Bulletin of The Australian Mathematical Society | 2004

Polynomials on banach spaces whose duals are isomorphic to ℓ 1 (Γ)

Raffaella Cilia; Maria D'Anna; Joaquín M. Gutiérrez

c_0

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José G. Llavona

Complutense University of Madrid

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Ignacio Villanueva

Complutense University of Madrid

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Fernando Bombal

Complutense University of Madrid

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