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Operator-norm convergence of the Trotter product formula for sectorial generators

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Publication:1581089
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DOI10.1023/A:1007659102557zbMath0959.47025MaRDI QIDQ1581089

Valentin A. Zagrebnov, Vincent Cachia

Publication date: 2 May 2001

Published in: Letters in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

semigroupsoperator-norm convergenceTrotter product formula\(m\)-sectorial operatorssectorial generators


Mathematics Subject Classification ID

Abstract parabolic equations (35K90) 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)


Related Items (4)

Quantization of edge currents for continuous magnetic operators ⋮ Trotter Product Formula for Non-self-Adjoint Gibbs Semigroups ⋮ Operator-norm approximation of semigroups by quasi-sectorial contractions ⋮ Accretive perturbations and error estimates for the Trotter product formula




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