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- Andreas Bolte, Ignacio Villanueva
- European Journal of Forest Research
- 2005

Morphology and vertical distribution patterns of spruce and beech live fine roots (diameter ≤2 mm) were studied using a soil core method in three comparable mature stands in the Solling: (1) pure… (More)

We show that, for every orthogonally additive homogeneous polynomial P on a space of contin uous functionsC(K) with values in a Banach space Y , there exists a linear operator S : C(K) → Y such… (More)

- D. Pérez-Garćıa, Michael M. Wolf, Carlos Palazuelos, Ignacio Villanueva
- 2008

We prove that there are tripartite quantum states (constructed from random unitaries) that can lead to arbitrarily large violations of Bell inequalities for dichotomic observables. As a consequence… (More)

- Marius Junge, Carlos Palazuelos, David Pérez-García, Ignacio Villanueva, Michael M. Wolf
- Physical review letters
- 2010

In 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… (More)

- Marius Junge, Carlos Palazuelos, D. Pérez-Garćıa, Ignacio Villanueva, Michael M. Wolf
- 2009

In this work we show that bipartite quantum states with local Hilbert space dimension n can violate a Bell inequality by a factor of order Ω ( √ n log2 n ) when observables with n possible outcomes… (More)

- Fernando Bombal, Ignacio Villanueva

In this paper we characterize those compact Hausdorff spaces K such that C(K) ˆ ⊗C(K) (and C(K) ˆ ⊗ s C(K)) have the Dunford-Pettis Property, answering thus in the negative a question posed in [7]… (More)

- FERNANDO BOMBAL, MAITE FERNÁNDEZ-UNZUETA, Ignacio Villanueva
- 2003

We introduce a notion of unconditionally converging multilinear operator which allows to extend many of the results of the linear case to the multilinear case. We prove several characterizations of… (More)

- FERNANDO BOMBAL, David Pérez-García, Ignacio Villanueva
- 2002

We 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… (More)

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 ω∗ − ω∗… (More)

We prove that the composition S(u1, . . . , un) of a multilinear multiple 2-summing operator S with 2-summing linear operators uj is nuclear, generalizing a linear result of Grothendieck.