The set of periods of chaotic operators and semigroups

• Autores: Gustavo Adolfo Muñoz Fernández, Juan Benigno Seoane Sepúlveda, A. Weber
• Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 105, Nº. 2, 2011, págs. 397-402
• Idioma: inglés
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• Resumen

  • This expository paper is devoted to the review of some very recent results concerning the set of periods of a chaotic operator T or a chaotic semigroup {T (t): t ≥ 0} acting on a complex Banach space. We obtain information about the structure of the set of periods and we give techniques to construct (chaotic) strongly continuous semigroups with prescribed periods. © 2011 Springer-Verlag.