Notes on the Chernoff product formula

DOI10.1016/J.JFA.2020.108696OpenAlexW3037035037MaRDI QIDQ785890

Valentin A. Zagrebnov

Publication date: 12 August 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09480

zbMATH Keywords

Chernoff product formulaquasi-sectorial contractionssemigroup approximationsTrotter-Kato product formulae

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Perturbation theories for operators and differential equations in quantum theory (81Q15) Positive linear operators and order-bounded operators (47B65)

Related Items (2)

Operator-norm Trotter product formula on Banach spaces ⋮ Rate of convergence of Chernoff approximations of operator \(C_0\)-semigroups

Cites Work

• Unnamed Item
• Quasi-sectorial contractions
• On error estimates for the Trotter-Kato product formula
• Trotter-Kato product formula and symmetrically normed ideals
• Trotter--Kato product formula and fractional powers of self-adjoint generators.
• Trotter-Kato product formula and operator-norm convergence
• Numerical range and quasi-sectorial contractions
• Note on product formulas for operator semigroups
• One-Parameter Semigroups for Linear Evolution Equations
• Product formulas, nonlinear semigroups, and addition of unbounded operators
• The Method of Chernoff Approximation
• Gibbs Semigroups
• Comments on the Chernoff $\sqrt$ n-Lemma
• Operator-norm approximation of semigroups by quasi-sectorial contractions
• The norm convergence of the Trotter-Kato product formula with error bound
• Note on the paper: ``The norm convergence of the Trotter--Kato product formula with error bound by T. Ichinose and H. Tamura.

This page was built for publication: Notes on the Chernoff product formula