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Universality of sequences of operators related to Taylor series
(Elsevier, 2019-06-01)
In this note, the universality of a sequence of operators associated to the partial sums of the Taylor series of a holomorphic function is investigated. The emphasis is put on the fact that the Taylor series are evaluated ...
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Infinite pointwise lineability: general criteria and applications
(Springer, 2023-11-11)
In this paper we introduce the concept of infinite pointwise dense lineability (spaceability), and provide a criterion to obtain density from mere lineability. As an application, we study the linear and topological structures ...
Artículo
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Highly tempering infinite matrices
(Springer, 2018-04)
In this short note, it is proved the existence of infinite matrices that not only preserve convergence and limits of sequences but also convert every member of some dense vector space consisting, except for zero, of divergent ...
Artículo
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Exceptional Hahn and Jacobi polynomials with an arbitrary number of continuous parameters
(Wiley, 2021-09-30)
We construct new examples of exceptional Hahn and Jacobi polynomials. Exceptional polynomials are orthogonal polynomials with respect to a measure which are also eigenfunctions of a second-order difference or differential ...
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Strongly convergent approximations to fixed points of total asymptotically nonexpansive mappings
(Springer, 2008-06)
In this work we prove a new strong convergence result of the regularized successive approximation method given by yn+1 = qnz0 + (1 − qn)T n yn, n = 1, 2, ..., where limn→∞ qn = 0 and X∞ n=1 qn = ∞, for T a total ...
Artículo
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Asymptotically nonexpansive mappings in modular function spaces
(Elsevier, 2002-01-15)
In this paper, we prove that if ρ is a convex, σ-finite modular function satisfying a ∆2-type condition, C a convex, ρ-bounded, ρ-a.e. compact subset of Lρ and T : C → C a ρ-asymptotically nonexpansive mapping, then T has ...
Artículo
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Approximation numbers of composition operators on the Dirichlet space
(Springer, 2015-04)
We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and lower bounds for these numbers. In particular, we improve on a result of O. El-Fallah, K. Kellay, M. ...
Artículo
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End-point estimates for iterated commutators of multilinear singular integrals
(London Mathematical Society, 2014-02)
Iterated commutators of multilinear Calder´on-Zygmund operators and pointwise multiplication with functions in BMO are studied in products of Lebesgue spaces. Both strong type and weak end-point estimates are obtained, ...
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Near-infinity concentrated norms and the fixed point property for nonexpansive maps on closed, bounded, convex sets
(Elsevier, 2018-08-01)
In this paper we define the concept of a near-infinity concentrated norm on a Banach space X with a boundedly complete Schauder basis. When k · k is such a norm, we prove that (X, k · k) has the fixed point property (FPP); ...
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Operators with dense images everywhere
(Elsevier, 2001-11-01)
In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near of the boundary of a domain G, via certain subsets. The relationship with other kinds of operators with wild behaviour ...