6 papers
Frame constructions associated with operator orbits
Eva A. Gallardo-Gutiérrez, Eva A. Gallardo-Gutiérrez, Jonathan R. Partington
This paper studies frames in Hilbert spaces generated by the orbits of (in)-finitely many vectors under a single operator, presenting new results on multiplication operators and op…
Spectral cuts and unconventional functional calculi
Eva A. Gallardo-Gutiérrez, F. Javier González-Doña
In this work, we prove that linear bounded operators on a Banach space allowing spectral cuts along rectifiable Jordan curves meeting their spectrum are related to classes…
Invariant subspaces for finite index shifts in Hardy spaces
Filippo Bracci, Eva A. Gallardo-Gutiérrez
Let be the finite direct sums of . In this paper, we give a characterization of the closed subspaces of which are invariant under the shift,…
Finite dimensional approximations for Hilbert space operators and applications in Quantum Mechanics
Eva A. Gallardo-Gutiérrez, Fernando Lledó, Laura Sáenz
In this work, we develop a unified framework for quasidiagonal and Følner-type approximations of linear operators on Hilbert spaces. These approximations (originally formulated fo…
Complete frequencies for Koenigs domains
Filippo Bracci, Eva A. Gallardo-Gutiérrez, Dmitry Yakubovich
We provide a complete characterization of those non-elliptic semigroups of holomorphic self-maps of the unit disc for which the linear span of eigenvectors of the generator of the…
Rhaly operators: more on generalized Cesà ro operators
Eva A. Gallardo-Gutiérrez, Jonathan R. Partington
Rhaly operators, as generalizations of the Cesà ro operator, are studied from the standpoint of view of spectral theory and invariant subspaces, extending previous results by Rhaly…