8 citations · 28 across the 49 of their papers we have counts for
5 papers · 1 filter
Valuations on Banach lattices
Pedro Tradacete, Ignacio Villanueva
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…
Continuity and representation of valuations on star bodies
Pedro Tradacete, Ignacio Villanueva
It is shown that every continuous valuation defined on the -dimensional star bodies has an integral representation in terms of the radial function. Our argument is based on the…
-regular operators between Banach lattices
Enrique A. Sánchez-Pérez, Pedro Tradacete
We study the class of -regular operators between quasi-Banach lattices. In particular, a representation of this class as the dual of a certain tensor norm for Banach lattice…
Interpolation and extrapolation of strictly singular operators between spaces
Francisco L. Hernández, Evgeny M. Semenov, Pedro Tradacete
We study the interpolation and extrapolation properties of strictly singular operators between different spaces. To this end, the structure of strictly singular non-compact o…
The free Banach lattice generated by a Banach space
Antonio Avilés, José Rodríguez, Pedro Tradacete
The free Banach lattice over a Banach space is introduced and analyzed. This generalizes the concept of free Banach lattice over a set of generators, and allows us to study the Nak…