E. Gallardo-Gutiérrez

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20152024

most citedWeighted composition operators on the Dirichlet space: boundedness and spectral properties

1 citations · 1 across the 2 of their papers we have counts for

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math.FA2024

A note on a Halmos problem

Maximiliano Contino, Eva Gallardo-Gutierrez

We address the existence of non-trivial closed invariant subspaces of operators $T$ on Banach spaces whenever their square $T^{2}$ have or, more generally, whether there exists a pol…

math.FA2023

Invariant subspaces of the Cesaro operator

Eva A. Gallardo-Gutierrez, Jonathan R. Partington, William T. Ross

This paper explores various classes of invariant subspaces of the classical Cesàro operator $C$ on the Hardy space $H^{2}$ . We provide a new characterization of the finite co-dimensi…

math.FA2015★ 1 cited

Weighted composition operators on the Dirichlet space: boundedness and spectral properties

I. Chalendar, E. A. Gallardo-Gutiérrez, J. R. Partington

Boundedness of weighted composition operators $W_{u, φ}$ acting on the classical Dirichlet space $D$ as $W_{u, φ} f = u (f \circ φ)$ is studied in terms of the multiplier sp…