A short proof of existence of disjoint hypercyclic operators
By Stanislav Shkarin. 2010
54 citations recorded by the source corpus.
Abstract We give a short proof of existence of disjoint hypercyclic tuples of operators of any given length on any separable infinite dimensional Frechet space. Similar argument provides disjoint dual hypercyclic tuples of operators of any length on any infinite dimensional Banach space with separable dual.
Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/8d8afaa72ad4e1696f15c12f2ec8b91767844ddb
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In Algebra and Number Theory
- J. Bes
- Alfredo Peris
- Antonio Bonilla
- Ozgur Martin
- Félix Martínez-Giménez
- Stanislav Shkarin
- Teresa Bermúdez
- S. Grivaux
In Applied Mathematics
- Alfredo Peris
- Antonio Bonilla
- Stanislav Shkarin
- J. Bes
- Ozgur Martin
- Félix Martínez-Giménez
- Teresa Bermúdez
- S. Grivaux
In Mathematical Physics
- Antonio Bonilla
- Alfredo Peris
- Stanislav Shkarin
- J. Bes
- Félix Martínez-Giménez
- Ozgur Martin
- Teresa Bermúdez
- Quentin Menet
Citations in the corpus
- Li–Yorke and distributionally chaotic operators (2010, background): “xtended to Fre´chet spaces by Bonet and Peris [8]. A generalization for polynomialsis given in [23]. Other existence results for related properties and forC0-semigroups can be found, for instance, in [4, 7, 5, 29, 30]. In this section we want to establish the existence of distributionally chaotic op”
- Disjoint mixing operators (2012, background): “3 for definitions) by Bernal-González [6], Salas [26], and the authors [8,29,7,9].”