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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
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 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
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 ...
Artículo
Erratum to: Strong extensions for q-summing operators acting in p-convex Banach function spaces for 1≤p≤q Weak* compactness of the closed unit ball of a Köthe dual space
(Springer, 2017)
Let X be a saturated Banach function space and denote by X′ its Köthe dual. In the paper (Delgado and Sánchez Pérez in Positivity 20:999–1014, 2016) referenced in the title it is implicitly used that the closed unit ball ...