Operator-norm Trotter product formula on Banach spaces

DOI10.4213/IM9370EzbMath1529.47079arXiv2205.04807MaRDI QIDQ6072017

Valentin A. Zagrebnov

Publication date: 29 November 2023

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04807

zbMATH Keywords

Banach spacesoperator-norm convergenceTrotter product formulasemigroup theory

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10)

Cites Work

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• Notes on the Chernoff product formula
• Fractional powers of self-adjoint operators and Trotter-Kato product formula
• On error estimates for the Trotter-Kato product formula
• Time dependent perturbations and scattering of strongly continuous groups on Banach spaces
• Error bounds for Trotter-type formulas for self-adjoint operators
• Error estimate in operator norm for Trotter-Kato product formula
• A remark on operator-norm convergence of Trotter-Kato product formula
• Remarks on the operator-norm convergence of the Trotter product formula
• Operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces: a short survey
• Perturbation theory for linear operators.
• Convergence rate estimates for Trotter product approximations of solution operators for non-autonomous Cauchy problems
• Stationary scattering theory for time-dependent Hamiltonians
• On the Product of Semi-Groups of Operators
• On Abstract Linear Evolution Equations, I
• One-Parameter Semigroups for Linear Evolution Equations
• The Method of Chernoff Approximation

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