Annali di Matematica Pura ed Applicata

, Volume 115, Issue 1, pp 311–318 | Cite as

Periodic strongly continuous semigroups

  • Harm Bart


It is shown that three possible definitions of periodicity of a strongly continuous semigroup are equivalent. A complete characterization of periodicity is obtained in terms of the infinitesimal generator. An example is given to illustrate how the results tie in with the classical theory of periodic continuous functions. Finally some results are obtained for the case when the underlying space is a Hilbert space.


Hilbert Space Continuous Function Classical Theory Complete Characterization Continuous Semigroup 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1977

Authors and Affiliations

  • Harm Bart
    • 1
  1. 1.Amsterdam

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