Periods of strongly continuous semigroups

descriptionPublicationkeyboard_double_arrow_right Article 15 Nov 2011 English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 44, pages 480-488 (issn: 0024-6093,

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Authors: Gustavo A. Muñoz-Fernández; Juan B. Seoane-Sepúlveda; Andreas Weber;

doi: 10.1112/blms/bdr109

Periods of strongly continuous semigroups

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Abstract

In this paper, we study the set of periods of (chaotic) strongly continuous semigroups. We prove a relationship between eigenvalues on the imaginary axis of the generator of a strongly continuous semigroup and the set of periods of the semigroup itself. This relationship in turn is used to obtain information about the structure of the set of periods and to construct (chaotic) semigroups with prescribed periods.

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Complutense University of Madrid
Spain

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