García-Raffi, L. M.; Jiménez Fernández, Eduardo; Sánchez Pérez, Enrique Alfonso(European Mathematical Society, 2013-06)
[EN] Sequences of real functions that are orthogonal with respect to a vector measure are
a natural generalization of the orthogonal systems with respect to a parametric measure. In this paper we develop a new procedure ...
Jiménez Fernández, Eduardo; Sánchez Pérez, Enrique Alfonso; Werner, Dirk(Institute of Mathematics, Polish Academy of Sciences, 2017-11-08)
[EN] We study whether or not the integration maps of vector measures can be
computed as pointwise limits of their finite rank Radon¿Nikodým derivatives. The positive
cases are obtained by using the circle of ideas related ...
Garcia-Raffi, L. M.; Sánchez-Pérez, E.A.(Universitat Politècnica de València, 2005-10-01)
[EN] Using compactness properties of bounded subsets of spaces of vector measure integrable functions and a representation theorem for q-convex Banach lattices, we prove a domination theorem for operators between Banach ...
Calabuig Rodriguez, Jose Manuel; Fernandez Unzueta, M.; Galaz Fontes, F.; Sánchez Pérez, Enrique Alfonso(Springer, 2014-09)
We consider the problem of extending or factorizing a bounded bilinear map defined on a couple of order continuous Banach function spaces to its optimal domain, i.e. the biggest couple of Banach function spaces to which ...
Calabuig, J. M.; Jiménez Fernández, Eduardo; Juan Blanco, María Aránzazu; Sánchez Pérez, Enrique Alfonso(Elsevier, 2016)
[EN] Compactness type properties for operators acting in Banach function spaces are not always preserved when the operator is extended to a bigger space. Moreover, it is known that there exists a maximal (weakly) compact ...
Blasco de la Cruz, Oscar; Calabuig, J. M.; Sánchez Pérez, Enrique Alfonso(Duke University Press, 2015)
[EN] In this paper we provide two representation theorems for two relevant classes of operators from any p-convex order continuous Banach lattice with weak unit into a Banach space: the class of continuous operators and ...
[EN] As a consequence of the analysis of the class of (p, q)-power concave operators, we prove a general representation theorem for p-convex and q-concave Banach lattices as spaces of integrable functions with respect to ...
[EN] Let T : X1 --> Y1 and S : X2 --> Y2 be two continuous linear operators between Banach function
spaces related to a finite measure space. Under some lattice requirements on the spaces involved,
we give characterizations ...
[EN] An explicit construction for the representation of the Calderón interpolation of spaces of vector measure integrable functions is given as well as for the representation of the real interpolation of these spaces using ...