Multiplicative sequences for universal sequences of mappings
In this paper we study the universality of (cnTn) where (cn) is a scalar sequence and (Tn) is a universal sequence such that Tn is valued in a topological vector space. We also show that if T is a hypercyclic operator on a Baire metrizable complex locally convex space then there exists a residual su...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2001 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/41792 |
| Acceso en línea: | http://hdl.handle.net/11441/41792 |
| Access Level: | acceso abierto |
| Palabra clave: | Universal sequence densely universal sequence hypercyclic operator multiplicative sequence unit circle |
| Sumario: | In this paper we study the universality of (cnTn) where (cn) is a scalar sequence and (Tn) is a universal sequence such that Tn is valued in a topological vector space. We also show that if T is a hypercyclic operator on a Baire metrizable complex locally convex space then there exists a residual subset in the unit circle such that T is also hypercyclic for all in such a subset. |
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