- -

Topologically mixing extensions of endomorphisms on Polish groups

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Topologically mixing extensions of endomorphisms on Polish groups

Mostrar el registro completo del ítem

Burke, J.; Pinheiro, L. (2022). Topologically mixing extensions of endomorphisms on Polish groups. Applied General Topology. 23(1):179-187. https://doi.org/10.4995/agt.2022.15187

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/182894

Ficheros en el ítem

Thumbnail
Nombre: BurkePinheiro - ...
Tamaño: 302.3Kb
Formato: PDF
Descripción: Versión editorial
Abrir/Preview

Metadatos del ítem

Título: Topologically mixing extensions of endomorphisms on Polish groups
Autor: Burke, John Pinheiro, Leonardo
Fecha difusión:
Resumen:
[EN] In this paper we study the dynamics of continuous endomorphisms on Polish groups. We offer necessary and sufficient conditions for a continuous endomorphism on a Polish group to be weakly mixing. We prove that any ...[+]
Palabras clave: Weak mixing , Polish group , Hypercyclicity criterion
Derechos de uso: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Fuente:
Applied General Topology. (issn: 1576-9402 ) (eissn: 1989-4147 )
DOI: 10.4995/agt.2022.15187
Editorial:
Universitat Politècnica de València
Versión del editor: https://doi.org/10.4995/agt.2022.15187
Tipo: Artículo

References

J. Bès and A. Peris, Hereditarily hypercyclic operators, Journal of Functional Analysis 167 (1999), 94-112.

https://doi.org/10.1006/jfan.1999.3437

G. D. Birkhoff, Surface transformations and their dynamical applications, Acta. Math. 43 (1922), 1-119. [+]
J. Bès and A. Peris, Hereditarily hypercyclic operators, Journal of Functional Analysis 167 (1999), 94-112.

https://doi.org/10.1006/jfan.1999.3437

G. D. Birkhoff, Surface transformations and their dynamical applications, Acta. Math. 43 (1922), 1-119.

https://doi.org/10.1007/BF02401754

K. Chan, Universal meromorphic functions, Complex Variables, Theory and Applications 46 (2001), 307-314.

https://doi.org/10.1080/17476930108815418

C. Chan and G. Turcu, Chaotic extensions of operators on Hilbert subspaces, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matemáticas 105 (2011), 415-421.

https://doi.org/10.1007/s13398-011-0029-3

M. Gethner and J. Shapiro, Universal vectors for operators on spaces of holomorphic functions, Proceedings of the American Mathematical Society 100 (1987), 281-288.

https://doi.org/10.1090/S0002-9939-1987-0884467-4

C. Kitai, Invariant closed sets for linear operators, University of Toronto Thesis (1982).

S. Kolyada and L'. Snoha, Topological Transitivity - a survey, Grazer Math. Ber. 334 (1997), 3-35.

M. de la Rosa and C. Reed, Invariant closed sets for linear operators, Journal of Operator Theory 61 (2009), 369-380.

T. K. Subrahmonian Moothathu, Weak mixing and mixing of a single transformation of a topological (semi)group, Aequationes Mathematicae 78 (2009), 147-155.

https://doi.org/10.1007/s00010-009-2958-x

[-]

recommendations

 

Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro completo del ítem