Disjoint hypercyclic linear fractional composition operators
By J. Bes, Ozgur Martin, Alfredo Peris. 2011
57 citations recorded by the source corpus.
Abstract We characterize disjoint hypercyclicity and disjoint supercyclicity of finitely many linear fractional composition operators acting on spaces of holomorphic functions on the unit disc, answering a question of Bernal-Gonzalez. We also study mixing and disjoint mixing behavior of projective limits of endomorphisms of a projective spectrum. In particular, we show that a linear fractional composition operator is mixing on the projective limit of the S v spaces strictly containing the Dirichlet space if and only if the operator is mixing on the Hardy space.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/910199177fbffbe082ccc004cb2fb1a1bce790b4
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In Applied Mathematics
- Stanislav Shkarin
- Alfredo Peris
- J. Bes
- Ozgur Martin
- S. Grivaux
- Quentin Menet
- Antonio Bonilla
- K. Grosse-Erdmann
In Geometry and Topology
- Stanislav Shkarin
- Alfredo Peris
- J. Bes
- S. Grivaux
- Quentin Menet
- Antonio Bonilla
- K. Grosse-Erdmann
- N. Feldman
Citations in the corpus
- Disjoint mixing operators (2012, background): “3 for definitions) by Bernal-González [6], Salas [26], and the authors [8,29,7,9].”
- A short proof of existence of disjoint hypercyclic operators (2010, background): “According to Bés and Peris [4], the direct sums of finitely many copies of T are also hypercyclic.”