Zobrazeno 1 - 10
of 170
pro vyhledávání: '"Villanueva, Ignacio"'
Publikováno v:
J. Funct. Anal., 283, 109708 (2022)
In this work we show that, given a linear map from a general operator space into the dual of a C$^*$-algebra, its completely bounded norm is upper bounded by a universal constant times its $(1,cb)$-summing norm. This problem is motivated by the study
Externí odkaz:
http://arxiv.org/abs/2112.05214
We study real-valued valuations on the space of Lipschitz functions over the Euclidean unit sphere $S^{n-1}$. After introducing an appropriate notion of convergence, we show that continuous valuations are bounded on sets which are bounded with respec
Externí odkaz:
http://arxiv.org/abs/2005.05419
Autor:
Amr, Abderramán, Villanueva, Ignacio
In this work we give an example of exponential separation between quantum and classical resources in the setting of XOR games assisted with communication. Specifically, we show an example of a XOR game for which $O(n)$ bits of two way classical commu
Externí odkaz:
http://arxiv.org/abs/2003.09747
We provide an integral representation for continuous, rotation invariant and dot product invariant valuations defined on the space Lip$(S^{n-1})$ of Lipschitz continuous functions on the unit $n-$sphere.
Comment: 27 pages
Comment: 27 pages
Externí odkaz:
http://arxiv.org/abs/1906.04118
In this paper we characterize the set of bipartite non-signalling probability distributions in terms of tensor norms. Using this characterization we give optimal upper and lower bounds on Bell inequality violations when non-signalling distributions a
Externí odkaz:
http://arxiv.org/abs/1904.02071
We study the Daugavet property in tensor products of Banach spaces. We show that $L_1(\mu)\widehat{\otimes}_\varepsilon L_1(\nu)$ has the Daugavet property when $\mu$ and $\nu$ are purely non-atomic measures. Also, we show that $X\widehat{\otimes}_\p
Externí odkaz:
http://arxiv.org/abs/1903.01761
Publikováno v:
In Journal of Functional Analysis 15 December 2022 283(12)
Autor:
Tradacete, Pedro, Villanueva, Ignacio
We provide a general framework for the study of valuations on Banach lattices. This complements and expands several recent works about valuations on function spaces, including $L_p(\mu)$, Orlicz spaces and spaces $C(K)$ of continuous functions on a c
Externí odkaz:
http://arxiv.org/abs/1711.11558
Autor:
Tradacete, Pedro, Villanueva, Ignacio
It is shown that every continuous valuation defined on the $n$-dimensional star bodies has an integral representation in terms of the radial function. Our argument is based on the non-trivial fact that continuous valuations are uniformly continuous o
Externí odkaz:
http://arxiv.org/abs/1709.08959