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Autor Villanueva, Ignacio |
Documentos disponibles escritos por este autor (48)
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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.texto impreso
We show that, for every orthogonally additive homogeneous polynomial P on a space of continuous functions C(K) with values in a Banach space Y, there exists a linear operator S : C(K) -> Y such that P(f) = S(f(n)). This is the C(K) version of a[...]texto impreso
We show that, for bounded sequences in C(K,E), the polynomial sequential convergence is not equivalent to the pointwise polynomial sequential convergence. We introduce several conditions on E under which different versions of the result are true[...]texto impreso
Villanueva, Ignacio ; Peralta Pereira, Antonio Miguel ; Wright, J. D. Maitland ; Ylinen, Kari | Cambridge University Press | 2010-05We introduce the concept of quasi-completely continuous multilinear operators and use this concept to characterize, for a wide class of Banach spaces X1, …, Xk, the multilinear operators T : X1 × … × Xk ? X with an X-valued Aron–Berner extension.texto impreso
We characterize the positive radial continuous and rotation invariant valuations V defined on the star bodies of Rn as the applications on star bodies which admit an integral representation with respect to the Lebesgue measure. That is,V(K)=?Sn?[...]texto impreso
We show that a radial continuous valuation defined on the n-dimensional star bodies extends uniquely to a continuous valuation on the n-dimensional bounded star sets. Moreover, we provide an integral representation of every such valuation, in te[...]