Accretive perturbations and error estimates for the Trotter product formula

DOI10.1007/BF01203321zbMath0996.47047OpenAlexW1998828820MaRDI QIDQ5937208

Valentin A. Zagrebnov, Hagen Neidhardt, Vincent Cachia

Publication date: 27 October 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01203321

zbMATH Keywords

Trotter product formulaholomorphic contraction semigroupmaximal accretive operatorone-parameter semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03) Remainders in approximation formulas (41A80) Linear accretive operators, dissipative operators, etc. (47B44)

Related Items (7)

An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature ⋮ On operator-norm approximation of some semigroups by quasi-sectorial operators. ⋮ Operator-norm approximation of semigroups by quasi-sectorial contractions ⋮ Note on the norm convergence of the unitary Trotter product formula ⋮ Approximation of the semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann space ⋮ Comments on the Trotter product formula error-bound estimates for non-selfadjoint semigroups ⋮ Some remarks on operator-norm convergence of the Trotter product formula on Banach spaces.

Cites Work

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• On the Product of Semi-Groups of Operators
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