A note on polynomially growing C-0-semigroups

T. Eisner, Heiko J. Zwart

    Research output: Contribution to journalArticleAcademicpeer-review

    11 Citations (Scopus)


    We characterize polynomial growth of a $C_0$-semigroup in terms of the first power of the resolvent of its generator. We do this for a class of semigroups which includes $C_0$-semigroups on Hilbert spaces and analytic semigroups on Banach spaces. Furthermore, we characterize polynomial growth for discrete semigroups.
    Original languageEnglish
    Pages (from-to)438-445
    Number of pages8
    JournalSemigroup forum
    Issue number2
    Publication statusPublished - 2007


    • C-0-semigroups
    • Growth estimate
    • Polynomially bounded


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