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Remarks on a Characterization of Generators of Bounded \(C_0\)-Semigroups

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Semigroups of Operators – Theory and Applications (SOTA 2018)

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Abstract

We provide and discuss an integral resolvent criterion for generation of bounded \(C_0\)-semigroups on Banach spaces.

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Acknowledgements

The author is very much grateful to the referee for careful reading of the manuscript and suggestions helping to significantly improve the presentation.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, 12/18 Chopin Str., 87-100, Toruń, Poland

    Sylwia Kosowicz

Authors
  1. Sylwia Kosowicz
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Correspondence to Sylwia Kosowicz .

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Editors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield, South Africa

    Jacek Banasiak

  2. Department of Mathematics, Lublin University of Technology, Lublin, Poland

    Adam Bobrowski

  3. Institute of Applied Mathematics and Mechanics, University of Warsaw, Warsaw, Poland

    Mirosław Lachowicz

  4. Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland

    Yuri Tomilov

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Kosowicz, S. (2020). Remarks on a Characterization of Generators of Bounded \(C_0\)-Semigroups. In: Banasiak, J., Bobrowski, A., Lachowicz, M., Tomilov, Y. (eds) Semigroups of Operators – Theory and Applications. SOTA 2018. Springer Proceedings in Mathematics & Statistics, vol 325. Springer, Cham. https://doi.org/10.1007/978-3-030-46079-2_4

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