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Artículo
An abstract proximal point algorithm
(Springer, 2018)
The proximal point algorithm is a widely used tool for solving a variety of convex optimization problems such as finding zeros of maximally monotone operators, fixed points of nonexpansive mappings, as well as minimizing ...
Ponencia
Functionals of harmonics functions
(Multidisciplinary Digital Publishing Institute, 2018-01)
Let CsT, with T > 0, be the set of continuous, T-periodic functions f : R → Rs, and let Γ : CsT → R be a real functional on CsT.
Artículo
Approximation numbers of weighted composition operators
(Elsevier, 2018)
We study the approximation numbers of weighted composition operators f 7→ w · (f ◦ ϕ) on the Hardy space H2 on the unit disc. For general classes of such operators, upper and lower bounds on their approximation numbers ...
Artículo
Vector spaces of non-extendable holomorphic functions
(Springer, 2018-02)
In this paper, the linear structure of the family He(G) of holomorphic functions in a domain G of the complex plane that are not analytically continuable beyond the boundary of G is analyzed. We prove that He(G) contains, ...
Artículo
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
Borsuk-Dugundji type extension theorems with Busemann convex target spaces
(Finnish Academy of Science and Letters, 2018)
In this work we study continuity properties of convex combinations in Busemann convex geodesic spaces and apply them to obtain two extension results for continuous and Lipschitz mappings with values in a Busemann convex space.
Artículo
Komlós' Theorem and the Fixed Point Property for affine mappings
(American Mathematical Society, 2018-12)
Assume that X is a Banach space of measurable functions for which Koml´os’ Theorem holds. We associate to any closed convex bounded subset C of X a coefficient t(C) which attains its minimum value when C is closed for the ...