Fractional powers of self-adjoint operators and Trotter-Kato product formula
type: Item
instance of: scholarly article
title: Fractional powers of self-adjoint operators and Trotter-Kato product formula
zbMATH Open document ID: 0945.47030
DOI: 10.1007/BF01196384
author: Hagen Neidhardt
author: V. A. Zagrebnov
published in: Integral Equations and Operator Theory
publication date: 2000-10-04T00:00:00Z
review text: The authors study error estimates in the operator norm topology for the Trotter-Kato product formula under the assumption that fractional powers of the perturbation are dominated by the fractional powers of the unperturbed operator.
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 47B25
Mathematics Subject Classification ID: 41A80
zbMATH DE Number: 1374990
zbMATH Keywords: Trotter-Kato product formula
zbMATH Keywords: fractional powers
zbMATH Keywords: error estimates
reviewed by: V. A. Liskevich
MaRDI profile type: Publication
cites work: Q3993197
cites work: Error bounds on exponential product formulas for Schrödinger operators
cites work: Trace norm convergence of exponential product formula
cites work: Error estimate in operator norm for Trotter-Kato product formula
cites work: On the Trotter-Lie product formula
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cites work: The Trotter-Kato product formula for Gibbs semigroups
cites work: On error estimates for the Trotter-Kato product formula
cites work: Trotter-Kato product formula and operator-norm convergence
cites work: Q5653193
cites work: Error bounds for Trotter-type formulas for self-adjoint operators
cites work: On the Product of Semi-Groups of Operators
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description: scientific article; zbMATH DE number 1374990