Supercyclicity in the operator algebra

• Autorzy: Alfonso Montes-Rodríguez , M. Carmen Romero-Moreno
• Języki publikacji: EN

Abstrakty

EN

We prove a Supercyclicity Criterion for a continuous linear mapping that is defined on the operator algebra of a separable Banach space ℬ. Our result extends a recent result on hypercyclicity on the operator algebra of a Hilbert space. This kind of result is a powerful tool to analyze the structure of supercyclic vectors of a supercyclic operator that is defined on ℬ. For instance, as a consequence of the main result, we give a very simple proof of the recently established fact that certain supercyclic operators defined on a Banach space have an infinite-dimensional closed subspace of supercyclic vectors.

Kategorie tematyczne

• 47A16: Cyclic vectors, hypercyclic and chaotic operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 150
• Numer: 3
• Strony: 201-213

Daty

wydano

2002

Twórcy

autor

Alfonso Montes-Rodríguez

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, 41080 Sevilla, Spain

autor

M. Carmen Romero-Moreno

• Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Aptdo. 1160, 41080 Sevilla, Spain

Identyfikatory

DOI

10.4064/sm150-3-1