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Mostrando ítems 1-9 de 9
Artículo
Hypercyclic subspaces in Fréchet spaces
(American Mathematical Society, 2006-07)
In this note, we show that every infinite-dimensional separable Fr´echet space admitting a continuous norm supports an operator for which there is an infinite-dimensional closed subspace consisting, except for zero, of ...
Artículo
Hypercyclic algebras for D-multiples of convolution operators
(American Mathematical Society, 2019-02)
It is shown in this short note the existence, for each nonzero member of the ideal of D-multiples of convolution operators acting on the space of entire functions, of a scalar multiple of it supporting a hypercyclic algebra.
Artículo
Order of growth of distributional irregular entire functions for the differentiation operator
(Taylor & Francis, 2016)
We study the rate of growth of entire functions that are distributionally irregular for the differentiation operator D. More specifically, given p ∈ [1,∞] and b ∈ (0, a), where a = 1 / 2 max{2, p}, we prove that there ...
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
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
Hypercyclic sequences of differential and antidifferential operators
(Elsevier, 1999-02)
In this paper, we provide some extensions of earlier results about hypercyclicity of some operators on the Fréchet space of entire functions of several complex variables. Specifically, we generalize in several directions ...
Artículo
Total and non-total suborbits for hypercyclic operators
(Springer, 2022-11-11)
In this note, it is proved that if X is a separable infinite dimensional Fréchet space that admits a continuous norm then, given a closed infinite dimensional subspace of X, there exists a hypercyclic operator admitting ...
Artículo
Backward Φ-shifts and universality
(Elsevier, 2005-06-01)
In this paper we consider spaces of sequences which are valued in a topological space E and study generalized backward shifts associated to certain selfmappings of E. We characterize their universality in terms of dynamical ...
Artículo
[S]-linear and convex structures in function families
(Elsevier, 2019-10-15)
In this paper, the notion of [S]-lineability (originally coined by Vladimir I. Gurariy) is introduced and developed in a general abstract setting. This new notion is, then, applied to specific situations, as for instance, ...