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Mostrando ítems 11-20 de 31
Artículo
Simultaneous universality
(Elsevier, 2018-08)
In this paper, the notion of simultaneous universality is introduced, concerning operators having orbits that simultaneously approximate any given vector. This notion is related to the well known concepts of universality ...
Artículo
Infinite dimensional holomorphic non-extendability and algebraic genericity
(Elsevier, 2017-01-15)
In this note, the linear structure of the family He(G) of holomorphic functions in a domain G of a complex Banach space that are not holomorphically continuable beyond the boundary of G is analyzed. More particularly, we ...
Artículo
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 ...
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 ...
Ponencia
Artículo
The algebraic size of the family of injective operators
(De Gruyter Open, 2017-01)
In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every ...
Artículo
Banach spaces of universal Taylor series in the disc algebra
(Springer, 2016-09)
It is proved that there are large vector spaces of functions in the disc algebra for which every nonzero member satisfies that, for many small subsets E of the unit circle T, the restrictions to T of the partial sums of ...
Artículo
Linear subsets of nonlinear sets in topological vector spaces
(American Mathematical Society, 2014-01)
For the last decade there has been a generalized trend in Mathematics on the search for large algebraic structures (linear spaces, closed subspaces, or infinitely generated algebras) composed of mathematical objects enjoying ...
Artículo
Non-Lipschitz differentiable functions on slit domains
(Springer, 2017-05)
It is proved the existence of large algebraic structures –including large vector subspaces or infinitely generated free algebras– inside the family of non-Lipschitz differentiable real functions with bounded gradient defined ...
Artículo
On the growth of zero-free MacLane-universal entire functions
(Elsevier, 2012-09)
We show that exponential growth is the critical discrete rate of growth for zero-free entire functions which are universal in the sense of MacLane. Specifically, it is proved that if the lower exponential growth order of ...