Fractional powers of self-adjoint operators and Trotter-Kato product formula

DOI10.1007/BF01196384zbMath0945.47030MaRDI QIDQ1125291

Hagen Neidhardt, Valentin A. Zagrebnov

Publication date: 4 October 2000

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

zbMATH Keywords

error estimatesfractional powersTrotter-Kato product formula

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03) Remainders in approximation formulas (41A80)

Related Items (9)

Proof of the strong Scott conjecture for heavy atoms: the furry picture ⋮ Operator-norm Trotter product formula on Banach spaces ⋮ Strang's formula for holomorphic semi-groups ⋮ Trotter--Kato product formula and fractional powers of self-adjoint generators. ⋮ Operator-norm approximation of semigroups by quasi-sectorial contractions ⋮ Accretive perturbations and error estimates for the Trotter product formula ⋮ A remark on operator-norm convergence of Trotter-Kato product formula ⋮ On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound ⋮ Comments on the Trotter product formula error-bound estimates for non-selfadjoint semigroups

Cites Work

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• On error estimates for the Trotter-Kato product formula
• Error bounds on exponential product formulas for Schrödinger operators
• Error bounds for Trotter-type formulas for self-adjoint operators
• Error estimate in operator norm for Trotter-Kato product formula
• Trotter-Kato product formula and operator-norm convergence
• Trace norm convergence of exponential product formula
• The Trotter-Kato product formula for Gibbs semigroups
• On the Product of Semi-Groups of Operators
• On the Trotter-Lie product formula

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