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 …

In this paper we present two different results in the context of nonlinear analysis. The first
one is essentially a nonlinear technique that, in view of its strong generality, may be useful in …

In this paper we provide a unifying approach to the study of Banach ideals of linear and
multilinear operators defined, or characterized, by the transformation of vector-valued …

We draw a fundamental compendium of the most valuable results of the theory of summing
linear operators and detail those that are not shared by known multilinear and polynomial …

This paper has a twofold purpose: to present an overview of the theory of absolutely
summing operators and its different generalizations for the multilinear setting, and to sketch …

Multiple summing operators have been proven to be useful in several areas of analysis and
mathematical physics. In this paper we prove reverse inclusions for this class of operators …

Using complex interpolation we prove new inclusion and coincidence theorems for multiple
(fully) summing multilinear and holomorphic map**s. Among several other results we …

In this paper we prove new results concerning summability properties of multilinear
map**s between Banach spaces, such as an extension of Littlewood's 4/3 Theorem. The …

Various concepts of multilinear summing operators were introduced in the last years, by
extending the well-known one from the linear case. In this paper, we prove that, as in the …

In this paper we prove some composition results for strongly summing and dominated
operators. As an application we give necessary and sufficient conditions for a multilinear …