A note on plynomially bounded C0-semigroups

T. Eisner, Heiko J. Zwart

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    10 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 languageUndefined
    Article number10.1007/s00233-007-0723-9
    Pages (from-to)438-445
    Number of pages8
    JournalSemigroup forum
    Issue number7/2
    Publication statusPublished - 2007


    • EWI-11808
    • IR-62139
    • METIS-245972
    • MSC-47D06

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