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On Error Estimates for the Trotter–Kato Product Formula

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Abstract

We study the error bound in the operator-norm topology for the Trotter exponential product formula as well as for its generalization à la Kato. Within the framework of an abstract setting, we give a simple proof of error estimates which improve some recent results in this direction.

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität Potsdam, Postfach 60 15 53, 14 415, Potsdam, Germany; e-mail

    H. Neidhardt & V. A. Zagrebnov

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  1. H. Neidhardt
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  2. V. A. Zagrebnov
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Neidhardt, H., Zagrebnov, V.A. On Error Estimates for the Trotter–Kato Product Formula. Letters in Mathematical Physics 44, 169–186 (1998). https://doi.org/10.1023/A:1007494816401

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