On a hypercylicity criterion for strongly continuous semigroups

Samir EL Mourchid

doi:10.3934/dcds.2005.13.271

Article Contents

2005, Volume 13, Issue 2: 271-275. Doi: 10.3934/dcds.2005.13.271

This issue Previous Article Asymptotics toward strong rarefaction waves for $2\times 2$ systems of viscous conservation laws Next Article One dimensional Dirac equation with quadratic nonlinearities

On a hypercylicity criterion for strongly continuous semigroups

Samir EL Mourchid^1,

1.
Département de Mathématiques, Université Cadi Ayyad, Marrakech, B.P.: 2390

Received: March 2004

Revised: January 2005

Published: February 2005

Abstract Related Papers Cited by

Abstract

In this note we extend the hypercyclicity criterion (HC) to $C_0$- semigroups on separable Banach spaces and characterize semigroups satisfying (HC). Using (HC) we show the hypercyclicity of the translation group on the weighted spaces $L^p_\rho(\mathbb R,\mathbb C)$ or $C_{0,\rho}(\mathbb R,\mathbb C)$ for admissible weight functions $\rho$.

Keywords:

Mathematics Subject Classification: 47A16, 47D06, 47B37.

Citation:

Article Metrics

HTML views() PDF downloads(233) Cited by(0)

On a hypercylicity criterion for strongly continuous semigroups

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

On a hypercylicity criterion for strongly continuous semigroups

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content