Información del autor
Documentos disponibles escritos por este autor (9)
Añadir el resultado a su cesta Hacer una sugerencia Refinar búsqueda
texto impreso
The boundedness and compactness of weighted composition operators on the Hardy space H(2) of the unit disc is analysed. Particular reference is made to the case when the self-map of the disc is an inner function. Schatten-class membership is als[...]texto impreso
We provide a criterion for the existence of a residual set of common hypercyclic vectors for an uncountable family of hypercyclic operators which is based on a previous one given by Costakis and Sambarino. As an application, we get common hyperc[...]texto impreso
A classical result due to Foias and Pearcy establishes a discrete model for every quasinilpotent operator acting on a separable, infinite-dimensional complex Hilbert space HH . More precisely, given a quasinilpotent operator T on HH , there ex[...]texto impreso
Gallardo Gutiérrez, Eva A. ; Partington, Jonathan R. ; Segura, Dolores | The Theta Foundation | 2009It is shown that the invariant subspaces for the Bergman and Dirichlet shifts on the right half-plane correspond to the common invariant subspaces of the right shift operators on certain weighted Lebesgue spaces on the half-line. As a particular[...]texto impreso
Gallardo Gutiérrez, Eva A. ; Partington, Jonathan R. | Association des Annales de l'Institut Fourier | 2013A generalization of the Aleksandrov operator is provided, in order to represent the adjoint of a weighted composition operator on H-2 by means of an integral with respect to a measure. In particular, we show the existence of a family of measures[...]texto impreso
We study invariant subspaces in the context of the work of Katavolos and Power [9] and [10] when one of the semigroups considered is replaced by a discrete one. As a consequence, a rather striking connection is given with the study of the lattic[...]texto impreso
The norm of a bounded composition operator induced by a disc automorphism is estimated on weighted Hardy spaces H 2(?) in which the classical Hardy space is continuously embedded. The estimate obtained is accurate in the sense that it provides t[...]texto impreso
Gallardo Gutiérrez, Eva A. ; Partington, Jonathan R. | Polish Acad Sciencies Inst Mathematics | 2005We show that the Angle Criterion for testing supercyclic vectors depends in an essential way on the geometrical properties of the underlying space. In particular, we exhibit non-supercyclic vectors for the backward shift acting on c(0) that stil[...]texto impreso
Boundedness (resp. compactness) of weighted composition operators W(h, phi) acting on the classical Hardy space H(2) as W(h, phi) f = h (f o phi) are characterized in terms of a Nevanlinna counting function associated to the symbols h and phi wh[...]
