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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[...]
