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On Error Estimates for the Trotter–Kato Product Formula
Authors:Neidhardt  H.  Zagrebnov  V. A.
Affiliation:(1) Fachbereich Mathematik, Universität Potsdam, Postfach 60 15 53, 14 415 Potsdam, Germany; e-mail
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.
Keywords:Trotter–  Kato product formula  self-adjoint operators  operator-norm estimates.
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