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Operator-Norm Convergence of the Trotter Product Formula on Hilbert and Banach Spaces: A Short Survey

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Current Research in Nonlinear Analysis

Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 135))

Abstract

We give a review of results on the operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces, which is focused on the problem of its convergence rates. Some recent results concerning evolution semigroups are presented in details.

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Author information

Authors and Affiliations

  1. WIAS Berlin, Berlin, Germany

    Hagen Neidhardt

  2. Humboldt-Universität zu Berlin, Institut für Mathematik, Berlin, Germany

    Artur Stephan

  3. Université d’Aix-Marseille - Institut de Mathématiques de Marseille (UMR 7373), CMI-Technopôle Château-Gombert, Marseille, France

    Valentin A. Zagrebnov

Authors
  1. Hagen Neidhardt
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  2. Artur Stephan
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  3. Valentin A. Zagrebnov
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Corresponding author

Correspondence to Valentin A. Zagrebnov .

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Neidhardt, H., Stephan, A., Zagrebnov, V.A. (2018). Operator-Norm Convergence of the Trotter Product Formula on Hilbert and Banach Spaces: A Short Survey. In: Rassias, T. (eds) Current Research in Nonlinear Analysis. Springer Optimization and Its Applications, vol 135. Springer, Cham. https://doi.org/10.1007/978-3-319-89800-1_9

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