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Article
Factorizing operators on Banach function spaces through spaces of multiplication operators
(Elsevier, 2010)
In order to extend the theory of optimal domains for continuous operators on a Banach function space X(μ) over a finite measure μ, we consider operators T satisfying other type of inequalities than the one given by the ...
Chapter of Book
Rearrangement invariant optimal domain for monotone kernel operators
(Springer, 2009)
For a kernel operator T with values in a Banach function space X, we give monotonicity conditions on the kernel which allow us to describe the rearrangement invariant optimal domain for T (still with values in X).We ...
Article
Algebra structure for Lp of a vector measure
(Elsevier, 2009)
In this paper, we present new results about the space Lp (ν) for ν being a vector measure defined in the Borel σ -algebra of a compact abelian group G and satisfying certain property concerning translation of simple ...
Article
Generalized perfect spaces
(Elsevier, 2008)
Given two Banach function spaces X and Y related to a measure μ, the Y-dual space XY of X is defined as the space of the multipliers from X to Y. The space XY is a generalization of the classical Köthe dual space of X, ...