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Mostrando ítems 1-10 de 38
Artículo
Universality on higher order Hardy spaces
(Cambridge University Press, 2005-02)
We prove a Seidel-Walsh-type theorem about universality of a sequence of derivation-composition operators generated by automorphisms of the unit disk in the setting of the higher order Hardy spaces. Moreover, some related ...
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
Dense linear manifolds of monsters
(Elsevier, 2002-12)
In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic functions of a domain in the complex plane. The concept is more restrictive than that of ...
Artículo
Linear structure of the weighted holomorphic non-extendibility
(Cambridge University Press, 2006-06)
In this paper, it is proved that, for any domain G of the complex plane, there exist an infinite-dimensional closed linear submanifold M1 and a dense linear submanifold M2 with maximal algebraic dimension in the space ...
Tesis Doctoral
Universalidad: U-operadores y sucesiones de operadores diferenciales
(2003)
A continuación se estudia la superciclicidad y se introduce la propiedad de la c-hiperciclicidad y c-hiperciclicidad por autovalores que se aprovechan para exhibir condiciones suficientes de superciclicidad y c-hiperciclidad ...
Artículo
Linear Kierst-Szpilrajn theorems
(Polish Academy of Sciences, Institute of Mathematics, 2005)
We prove in this paper the following result which extends in a somewhat ‘linear’ sense a theorem by Kierst and Szpilrajn and which holds on many ‘natural’ spaces of holomorphic functions in the open unit disk D: There ...
Artículo
Large linear manifolds of non-continuable boundary-regular holomorphic functions
(Elsevier, 2008-05-01)
We prove in this paper that if G is a domain in the complex plane satisfying adequate topological or geometrical conditions then there exists a large (dense or closed infinite-dimensional) linear submanifold of boundary-regular ...
Artículo
Interpolation by tamed entire functions
(Bulgarian Academy of Sciences, 2006)
In this note it is constructed an entire function that interpolates a prescribed pair of sequences in the complex plane, and with the property that its values are controlled in some sense on a given compact subset by those ...
Artículo
Cyclicity of coefficient multipliers: Linear structure
(Springer, 2007-03)
In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators defined on spaces of holomorphic functions. In the case of a single coefficient multiplier we characterize ...
Artículo
Maximal cluster sets of L-analytic functions along arbitrary curves
(Springer, 2007-03)
Let Ω be a domain in the N-dimensional real space, L be an elliptic differential operator, and (Tn) be a sequence whose members belong to a certain class of operators defined on the space of L-analytic functions on Ω. ...