Now showing items 1-10 of 17
Cyclicity of coefficient multipliers: Linear structure [Article]
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 ...
Funciones universales para operadores de composición en superficies de Riemann [PhD Thesis]
"Esta memoria está dividida en cuatro capítulos. En el Capítulo cero de preliminares introducimos la notación y recordamos los elementos necesarios que utilizaremos más tarde en el resto de este trabajo. De este capítulo ...
Compositional universality in the N-dimensional ball [Article]
(De Gruyter, 2007-05)
It is proved in this note that a sequence of automorphisms on the N-dimensional unit ball acts properly discontinuously if and only if its corresponding sequence of composition operators is universal on the Hardy space of ...
Compositional hypercyclicity equals supercyclicity [Article]
(University of Houston, 2007)
In this note it is proved that the sequence of composition operators generated by automorphisms of a simply connected domain strictly contained in the complex plane is hypercyclic –that is, possesses some dense orbit– ...
Norms of hypercyclic sequences [Article]
(The European Digital Mathematics Library, 2004)
In this note, is proved that every member of a wide class of Banach spaces supports a sequence (Tn) of operators with a hereditary hypercyclic subsequence (Tnk) such that (Tn) itself does not satisfy the so-called ...
Multiplicative sequences for universal sequences of mappings [Article]
(The European Digital Mathematics Library, 2001)
In this paper we study the universality of (cnTn) where (cn) is a scalar sequence and (Tn) is a universal sequence such that Tn is valued in a topological vector space. We also show that if T is a hypercyclic operator on ...
Holomorphic operators generating dense images [Article]
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is ...
Large subspaces of compositionally universal functions with maximal cluster sets [Article]
Let (φn) be a sequence of holomorphic self-maps of a Jordan domain G in the complex plane. Under appropriate conditions on (φn), we construct an H(G)-dense linear manifold –as well as a closed infinite-dimensional ...
Maximal cluster sets along arbitrary curves [Article]
The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except for zero maximal cluster set along any curve tending to the boundary with nontotal oscillation value set is shown.
Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator [Article]
For the Dunkl operator Λα (α > −1/2) on the space of entire functions on the complex space C, the critical rate of growth for the integral means Mp(f, r) of their hypercyclic functions f is obtained. The rate of growth of ...