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Artículo
Strong Factorizations between Couples of Operators on Banach Function Spaces
(Heldermann Verlag, 2013)
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 by ...
Artículo
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 ...
Artículo
The Cesàro space of Dirichlet series and its multiplier algebra
(Elsevier, 2019)
We consider the space H(cesp)of all Dirichlet series whose coefficients belong to the Cesàro sequence space cesp, consisting of all complex sequences whose absolute Cesàro means are in p, for 1 <p <∞. It is a Banach space ...
Artículo
Choquet type L1-spaces of a vector capacity
(Elsevier, 2017)
Given a set function Λ with values in a Banach space X, we construct an integration theory for scalar functions with respect to Λ by using duality on X and Choquet scalar integrals. Our construction extends the classical ...
Artículo
Strong Factorizations of Operators with Applications to Fourier and Cesàro Transforms
(University of Michigan, Department of Mathematics, 2019)
Consider two continuous linear operators T : X1(μ) ! Y1( ) and S : X2(μ) ! Y2( ) between Banach function spaces related to different -finite measures μ and . We characterize by means of weighted norm inequalities when ...
Artículo
Optimal domain of q-concave operators and vector measure representation of q-concave Banach lattices
(Cornell University, 2015)
Given a Banach space valued q-concave linear operator T defined on a σ-order continuous quasi-Banach function space, we provide a description of the optimal domain of T preserving q-concavity, that is, the largest σ-order ...
Artículo
Optimal Domains for L0-valued Operators Via Stochastic Measures
(Springer, 2007)
We study extension of operators T : E → L0([0, 1]), where E is an F–function space and L0([0, 1]) the space of measurable functions with the topology of convergence in measure, to domains larger than E, and we study the ...
Artículo
Optimal Extensions for pth Power Factorable Operators
(Springer, 2016)
Let X(μ) be a function space related to a measure space (Ω,Σ, μ) with χΩ ∈ X(μ) and let T : X(μ) → E be a Banach spacevalued operator. It is known that if T is pth power factorable then the largest function space to ...
Artículo
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 ...
Artículo
Optimal extensions for positive order continuous operators on Banach functions spaces
(Cambridge University Press, 2014)
In this paper we give conditions under which a positive order continuous operator T defined on a Banach function space can be extended, preserving the order continuity in a certain optimal way. The optimal domain for T ...