Información del autor
Autor Villanueva, Ignacio |
Documentos disponibles escritos por este autor (48)
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We prove a characterization of the dual mixed volume in terms of functional properties of the polynomial associated with it. To do this, we use tools from the theory of multilinear operators on spaces of continuous functions. Along the way we re[...]texto impreso
Given a k-linear operator T from a product of C(K) spaces into a Banach space X, our main result proves the equivalence between T being completely continuous, T having an X-valued separately omega* - omega* continuous extension to the product of[...]texto impreso
We prove that the composition S(u(1),..., u(n)) of a multilinear multiple 2-summing operator S with 2-summing linear operators u(j) is nuclear, generalizing a linear result of Grothendieck.texto impreso
We prove that every countably additive polymeasure can be decomposed in a unique way as the sum of a "discrete" polymeasure plus a "continuous" polymeasure. This generalizes a previous result of Saeki.texto impreso
Let E be a complex Banach space and denote by H b (E) the space of all holomorphic functions f:E?C of bounded type, that is, bounded on bounded sets. It is known that f?H b (E) admits a factorization of the form f=g?S , with S a compact li[...]texto impreso
González Guillén, Carlos Eduardo ; Palazuelos Cabezón, Carlos ; Villanueva, Ignacio | Springer New York LLC | 2016In this work, we study a version of the general question of how well a Haar-distributed orthogonal matrix can be approximated by a random Gaussian matrix. Here, we consider a Gaussian random matrix (Formula presented.) of order n and apply to it[...]texto impreso
Villanueva, Ignacio ; Cabello Sánchez, Félix ; García, R. | Universidad de Extremadura, Departamento de Matemáticas | 2001This paper considers the problem of extending multilinear forms on a Banach space X to a larger space Y containing it as a closed subspace. For instance, if X is a subspace of Y and X0 ! Y 0 extends linear forms, then the induced Nicodemi operat[...]texto impreso
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 pr[...]texto impreso
Palazuelos Cabezón, Carlos ; Peralta Pereira, Antonio Miguel ; Villanueva, Ignacio | Polish Acad Sciencies Inst Mathematics | 2009In recent papers, the Right mid the Strong* topologies have been. introduced and studied on general Banach spaces We characterize different types of continuity for multilinear operators (joint, uniform, etc) with respect to the above topologies [...]texto impreso
Jarchow , Hans ; Palazuelos Cabezón, Carlos ; Pérez García, David ; Villanueva, Ignacio | Academic Press | 2007-12-15The aim of this paper is to investigate close relations between the validity of Hahn–Banach extension theorems for multilinear forms on Banach spaces and summability properties of sequences from these spaces. A case of particular importance occu[...]texto impreso
We consider the classes of “Grothendieck-integral” (G-integral)and “Pietsch-integral” (P-integral) linear and multilinear operators (see definitions below), and we prove that a multilinear operator between Banach spaces is G-integral (resp. P-in[...]texto impreso
We use polymeasures to characterize when a multilinear form defined on a product of C(K, X) spaces is integral.texto impreso
We study and characterize the integral multilinear operators on a product of C(K) spaces in terms of the representing polymeasure of the operator. Some applications are given. In particular, we characterize the Borel polymeasures that can be ext[...]texto impreso
Cooney, Tom ; Junge, Marius ; Navascués Cobo, Miguel ; Pérez García, David ; Villanueva, Ignacio | Springer | 2013Bipartite correlations generated by non-signalling physical systems that admit a finite-dimensional local quantum description cannot exceed the quantum limits, i.e., they can always be interpreted as distant measurements of a bipartite quantum s[...]texto impreso
Bombal Gordón, Fernando ; Fernández Unzueta, M. ; Villanueva, Ignacio | Sociedad Matemática Mexicana | 2004We use well known properties of the tensor product of l(p)-spaces to study the local structure of projective and injective tensor products of Banach spaces. In particular we give a simple proof of the fact that the injective (resp. projective) t[...]texto impreso
If K is an uncountable metrizable compact space, we prove a ‘factorization’ result for a wide variety of vector valued Borel measures ? defined on Kn. This result essentially says that for every such measure ? there exists a measure ?0 defined o[...]texto impreso
Villanueva, Ignacio ; Bombal Gordón, Fernando ; Pérez García, David | Oxford University Press | 2004We introduce a new class of multilinear p-summing operators, which we call multiple p-summing. Using them, we can prove several multilinear generalizations of Grothendieck’s “fundamental theorem of the metric theory of tensor products”. Several [...]texto impreso
Villanueva, Ignacio | Mathematical Institute of the Academy of Sciences of the Czech Republic | 2004Given Banach spaces X, Y and a compact Hausdor_ space K, we use polymeasures to give necessary conditions for a multilinear operator from C(K;X) into Y to be completely continuous (resp. unconditionally converging). We deduce necessary and suffi[...]texto impreso
Villanueva, Ignacio ; Bombal Gordón, Fernando | Faculty of Mathematics and Computer Science of Adam Mickiewicz University | 1998Let E1, . . . ,Ed be Banach spaces such that all linear operators from Ei into E_j (i 6= j) are weakly compact. The authors show that every continuous d-linear operator T on E1 × • • • × Ed to a Banach space F possesses a unique bounded multilin[...]texto impreso
In this paper, we improve some previous results about multiple p-summing multilinear operators by showing that every multilinear form from spaces is multiple p-summing for 1 p 2. The proof is based on the existence of a predual for the Banach s[...]texto impreso
In this paper, we characterize, for 1 ? ptexto impreso
Villanueva, Ignacio ; Cabello Sánchez, Félix ; García Herrera, Ricardo | Polish Academy of Sciences | 2000We show that a separable Banach space X has the Schur property if and only if every separately compact bilinear application from X into c0 is completely continuous, thus answering a question raised by Pe?czy?ski.texto impreso
In this paper we characterize those compact Hausdorff spaces such that (and ) have the Dunford-Pettis Property, answering thus in the negative a question posed by Castillo and González who asked if and have this property.texto impreso
Junge, M. ; Pérez García, David ; Palazuelos Cabezón, Carlos ; Villanueva, Ignacio ; Wolf, Michael | American Physical Society | 2009In this letter we show that the field of Operator Space Theory provides a general and powerful mathematical framework for arbitrary Bell inequalities, in particular regarding the scaling of their violation within quantum mechanics. We illustrate[...]texto impreso
Villanueva, Ignacio ; Palazuelos Cabezón, Carlos ; Peralta Pereira, Antonio Miguel | Oxford University Press | 2008-09We show that for every orthogonally additive scalar n-homogeneous polynomial P on a C*-algebra A there exists phi in A* satisfying P(x) = phi(x(n)), for each element x in A. The vector-valued analogue follows as a corollary.