Due to recent advances in the theory of ideals of Lipschitz mappings, we introduce (p, σ)-
absolutely Lipschitz mappings as an interpolating class between Lipschitz mappings and …

Unifying several directions of the development of the study of summing multilinear operators
between Banach spaces, we construct a general framework that studies, under one single …

In [15], EA Sánchez Pérez introduced the class of (s; q, θ)-mixing operators, as a
generalization of (s; q)-mixing operators. We investigate analogous concepts here for the …

This paper introduces the class of p 1,…, pm, σ, q, ν-nuclear m-linear operators between
Banach spaces, as an intermediate space between the class of nuclear multilinear operators …

We introduce and develop the notion of hyper-ideals of multilinear operators between
Banach spaces. While the well studied notion of ideals of multilinear operators (multi-ideals) …

The aim of this work is to contribute to the theory of (p, q)(p, q)-summing operators. We focus
on positive (p, q)(p, q)-summing operators, introduced by Blasco (Collect Math 37 (1): 13 …

We introduce the new class of the (p; p 1,..., pm)-regular multilinear operators between
Banach lattices, that is defined using a summability property that provides the multilinear …

This work aims to define a new class of operators, called strongly p, σ-Lipschitz mappings.
We prove a Pietsch type domination/factorization theorem for this class of operators and …

Classes of homogeneous polynomials between Banach spaces have been studied in the
last three decades from the perspective of the stability with respect to the composition of a …

Using a general tensor norm approach, our aim is to show that some distinguished classes
of summing operators can be characterized by means of an 'order reduction'procedure for …