Anzeige
Erschienen in:
2011 | OriginalPaper | Buchkapitel
Connectedness arguments in linear dynamics
verfasst von : Karl-G. Grosse-Erdmann, Alfred Peris Manguillot
Erschienen in: Linear Chaos
Verlag: Springer London
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
This chapter presents some of the deepest, most beautiful and most useful results from linear dynamics. We obtain Ansari’s theorem that every power of a hypercyclic operator is hypercyclic, the Bourdon–Feldman theorem that every somewhere dense orbit is (everywhere) dense, the Costakis–Peris theorem that every multi-hypercyclic operator is hypercyclic, the León–Müller theorem that any unimodular multiple of a hypercyclic operator is hypercyclic, and the Conejero–Müller–Peris theorem that every operator in a hypercyclic semigroup is hypercyclic.