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Periods of strongly continuous semigroups
Author(s) -
MuñozFernández Gustavo A.,
SeoaneSepúlveda Juan B.,
Weber Andreas
Publication year - 2012
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdr109
Subject(s) - mathematics , semigroup , chaotic , generator (circuit theory) , set (abstract data type) , pure mathematics , eigenvalues and eigenvectors , construct (python library) , special classes of semigroups , power (physics) , computer science , artificial intelligence , physics , quantum mechanics , programming language
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.