[EN] We study the class of (p,q)-regular operators between quasi-Banach lattices. In particular, a representation of this class as the dual of a certain tensor norm for Banach lattices is given. We also provide some ...
[EN] An order-based integration of scalar functions with respect to positive vector measures with values in quasi-Banach lattices is presented. It is proved that it coincides with the Bartle-Dunford-Schwartz-type integration ...
We characterize by means of a vector norm inequality the space of operators that factorize through a p-summing operator from anLr-space to an Ls-space. As an application, we prove a domination result in the sense of ...
[EN] We explore the connection between p-regular operators on Banach function spaces and weighted p-estimates. In particular, our results focus on the following problem. Given finite measure spaces mu and nu, let T be an ...
Sánchez Pérez, Enrique Alfonso; Tradacete Pérez, Pedro(Oxford University Press (OUP): Policy B - Oxford Open Option A, 2014-09)
The notion of positively norming set, a specific definition of norming type sets for Banach lattices, is analyzed. We show that the size of positively norming sets (in terms of compactness and order boundedness) is directly ...
Avilés-López, Antonio; Guirao Sánchez, Antonio José; Lajara, Sebastian; Rodríguez Ruiz, José; Tradacete Pérez, Pedro(Institute of Mathematics, Polish Academy of Sciences, 2016)
[EN] We study the different ways in which a weakly compact set can generate a Banach lattice. Among other things, it is shown that in an order continuous Banach lattice X, the existence of a weakly compact set K subset of ...