1 citations · 1 across the 6 of their papers we have counts for
9 papers
Hyperinvariant subspaces of hyponormal operators: A constructive decomposition approach
Norberto Clemente, Eva A. Gallardo-Gutiérrez
It is shown that any hyponormal operator on an infinite-dimensional separable Hilbert space that admits a decomposition \( T = R + V \), where \( R \) is tridiagonal and \( V \) is…
Insights on the Cesàro operator: shift semigroups and invariant subspaces
Eva A. Gallardo-Gutiérrez, Jonathan R. Partington
A closed subspace is invariant under the Cesàro operator on the classical Hardy space if and only if its orthogonal complement is invariant under the…
Generators of -semigroups of weighted composition operators
Eva A. Gallardo-Gutiérrez, Aristomenis G. Siskakis, Dmitry Yakubovich
We prove that in a large class of Banach spaces of analytic functions in the unit disc an (unbounded) operator with analytic in $\math…
Multiplication by a finite Blaschke product on weighted Bergman spaces: commutant and reducing subspaces
Eva A. Gallardo-Gutiérrez, Jonathan R. Partington
We provide a characterization of the commutant of analytic Toeplitz operators induced by finite Blachke products acting on weighted Bergman spaces which, as a particular…
Invariant subspaces for positive operators on Banach spaces with unconditional basis
Eva A. Gallardo-Gutiérrez, Javier González-Doña, Pedro Tradacete
We prove that every lattice homomorphism acting on a Banach space with the lattice structure given by an unconditional basis has a non-trivial closed invariant subspa…
A Beurling Theorem for almost-invariant subspaces of the shift operator
Isabelle Chalendar, Eva A. Gallardo-Gutiérrez, Jonathan R. Partington
A complete characterization of nearly-invariant subspaces of finite defect for the backward shift operator acting on the Hardy space is provided in the spirit of Hitt and Sarason's…