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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
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Duren, Peter ; Gallardo Gutiérrez, Eva A. ; Montes Rodríguez, Alfonso | London Mathematical Society | 2007An analogue of the Paley-Wiener theorem is developed for weighted Bergman spaces of analytic functions in the upper half-plane. The result is applied to show that the invariant subspaces of the shift operator on the standard Bergman space of the[...]texto impreso
A bounded operator T acting on a Hilbert space H is said to be supercyclic if there is a vector f epsilon H such that the projective orbit {lambdaT(n)f: ngreater than or equal to0 and lambda epsilon C} is dense in H. We use a new method based on[...]texto impreso
A bounded operator T acting on a Hilbert space H is called cyclic if there is a vector x such that the linear span of the orbit {Tnx:n?0} is dense in H. If the scalar multiples of the orbit are dense, then T is called supercyclic. Finally, if th[...]texto impreso
It is shown that the classical Volterra operator, which is cyclic, is not supercyclic on any of the spaces L-p[0, 1], 1 less than or equal to p
