1 citations · 2 across the 8 of their papers we have counts for
10 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…
On the wandering property in Dirichlet spaces
Eva Gallardo-Gutiérrez, Jonathan Partington, Daniel Seco
We show that in a scale of weighted Dirichlet spaces , including the Bergman space, given any finite Blaschke product there exists an equivalent norm in such that $B…
Invariant subspaces for Bishop operators and beyond
Fernando Chamizo, Eva A. Gallardo-Gutiérrez, Miguel Monsalve-López +1
Bishop operators acting on were proposed by E. Bishop in the fifties as possible operators which might entail counterexamples for the Invariant Subspace Problem. W…
Orbits of non-elliptic disc automorphisms
Eva A. Gallardo-Gutiérrez, Pamela Gorkin, Daniel Suárez
Motivated by the Invariant Subspace Problem, we describe explicitly the closed subspace generated by the limit points in the norm of the orbit of a thin Blaschke produc…
On the connected component of compact composition operators on the Hardy space
Eva A. Gallardo-Gutiérrez, Maria J. González, Pekka Nieminen +1
We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space on the unit disc. This answers a questi…