7 papers
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 minimum number of Toeplitz factors of a matrix
Ignacio García-Marco, Irene Márquez-Corbella, Daniel Seco
We disprove a conjecture by Ye and Lim, by showing that there are complex matrices which can't be expressed as the product of two Toeplitz matrices of the same size. W…
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…
Towards spectral descriptions of cyclic functions
Miguel Monsalve, Daniel Seco
We build on a characterization of inner functions due to Le, in terms of the spectral properties of the operator and study to what extent the cyclicity on weighted…
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…
Zero-free regions of the Riemann zeta function and approximation in weighted Dirichlet spaces
Eva Gallardo-Gutiérrez, Daniel Seco
We study zero-free regions of the Riemann zeta function related to an approximation problem in the weighted Dirichlet space which is known to be equivalent to the Riem…