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A Note on Polynomially Growing C0-Semigroups

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Abstract

We characterize polynomial growth of a C0-semigroup in terms of the first power of the resolvent of its generator. We do this for a class of semigroups which includes C0-semigroups on Hilbert spaces and analytic semigroups on Banach spaces. Furthermore, we characterize polynomial growth for discrete semigroups.

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Authors and Affiliations

  1. Mathematisches Institut, Universitat Tubingen, Auf der Morgenstelle 10, D-72076 Tubingen, Germany

    Tanja Eisner

  2. Department of Applied Mathematics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands

    Hans Zwart

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  1. Tanja Eisner
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  2. Hans Zwart
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Correspondence to Tanja Eisner or Hans Zwart.

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Eisner, T., Zwart, H. A Note on Polynomially Growing C0-Semigroups. Semigroup Forum 75, 438–445 (2007). https://doi.org/10.1007/s00233-007-0723-9

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  • DOI: https://doi.org/10.1007/s00233-007-0723-9

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