[EN] We introduce and discuss several ways of extending the inner measure arisen from the closed injective hull of an ideal of linear operators to the multilinear case. In particular, we consider new measures that allow ...
[EN] In this paper we introduce a function for multilinear operators that can be considered as an extension of the so-called outer measure associated to a linear operator ideal. We prove that it allows to characterize the ...
[EN] This paper has a twofold purpose. First, to structure and relate a teaching experience on
the tutoring of a graduation work in Mathematics made in the University of Valencia.
The main property of the didactic purpose ...
[EN] We study extension theorems for Lipschitz-type operators acting on metric spaces and with values on spaces of integrable functions. Pointwise domination is not a natural feature of such spaces, and so almost everywhere ...
[EN] In this paper, we characterize compact linear operators from
Banach function spaces to Banach spaces by means of approximations
with bounded homogeneous maps. To do so, we undertake a detailed
study of such maps, ...
[EN] We prove a factorization theorem for Lipschitz operators acting on certain subsets of metric spaces of measurable functions and with values on general metric spaces. Our results show how a Lipschitz operator can be ...
[EN] Motivated by the well known Kadec-Pelczynski disjointifcation theorem, we undertake
an analysis of the supports of non-zero functions in strongly embedded subspaces of
Banach functions spaces. The main aim is to ...