4 papers · 1 filter
Orthogonal polynomials in de Branges--Rovnyak spaces
Eugenio Dellepiane, Daniel Seco
Given a function , holomorphic on the disc and bounded by 1, one can construct an associated reproducing kernel Hilbert space called the de Branges--Rovnyak space . We exp…
On the cyclic behavior of singular inner functions in Besov and sequence spaces
Alberto Dayan, Daniel Seco
We show the existence of singular inner functions that are cyclic in some Besov-type spaces of analytic functions over the unit disc. Our sufficient condition is stated only in ter…
Mean ergodicity of multiplication operators in weighted Dirichlet spaces
Antonio Bonilla, Daniel Seco
We characterize bounded multiplication operators in weighted Dirichlet spaces that are power bounded, Cesàro bounded and uniformly Kreiss. Moreover, we show the equivalence in such…
A counterexample to the weak Shanks conjecture
Catherine Bénéteau, Dmitry Khavinson, Daniel Seco
We give an example of a function non-vanishing in the closed bidisk and the affine polynomial minimizing the norm of in the Hardy space of the bidisk among all affine po…