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The adjoint of a linear fractional composition operator acting on the classical Dirichlet space is expressed as another linear fractional composition operator plus a two rank operator. The key point is that, in the Dirichlet space modulo constan[...]texto impreso
Gallardo Gutiérrez, Eva A. ; Partington, J.R. ; Rodriguez, D. J. | Univ. Szeged, Bolyai Institute, Aradi Vertanuk Tere | 2017A remarkable theorem of Domar asserts that the lattice of the invariant subspaces of the right shift semigroup {S-tau}(tau > = 0) in L-2 (R+, w(t)dt) consists of just the " standard invariant subspaces" whenever w is a positive continuous functi[...]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
In this note, composition operators on Bergman spaces of a simply connected domain are studied characterizing boundedness and compactness of such operators whenever the domain is Lavrentiev.texto impreso
Gallardo Gutiérrez, Eva A. ; González, María J. ; Nicolau, Arthur | American Mathematical Society | 2008For any simply connected domain., we prove that a Littlewood type inequality is necessary for boundedness of composition operators on H-p(Omega), 1texto impreso
The Invariant Subspace Problem for Hilbert spaces is a long-standing question and the use of universal operators in the sense of Rota has been one tool for studying the problem. The best known universal operators have been adjoints of analytic T[...]texto impreso
The Invariant Subspace Problem for Hilbert spaces is a long-standing question and the use of universal operators in the sense of Rota has been one tool for studying the problem. The best known universal operators have been adjoints of analytic T[...]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
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In this work, cyclic Blaschke products for composition operators induced by disc automorphisms axe studied. In particular, we obtain interpolating Blaschke products that axe cyclic for nonelliptic automorphisms and we obtain a new characterizati[...]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
It is shown that an analytic map phi of the unit disk into itself inducing a Hilbert-Schmidt composition operator on the Dirichlet space has the property that the set E-phi = {e(i0)is an element ofpartial derivativeD : \phi(e(10))\ = 1 has zero [...]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
It is shown that there exist analytic self-maps phi of the unit disc D inducing compact composition operators on the Hardy space H-p, 1
