Now showing items 1-4 of 4
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 ...
Maximal cluster sets of L-analytic functions along arbitrary curves [Article]
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. ...
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– ...
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 ...