A remark on operator-norm convergence of Trotter-Kato product formula

DOI10.1007/BF01194484zbMath0976.47022OpenAlexW2028314964MaRDI QIDQ1583712

Hiroshi Tamura

Publication date: 6 January 2002

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

Full work available at URL: https://doi.org/10.1007/bf01194484

zbMATH Keywords

rate of convergenceTrotter-Kato product formulaform-sumselfjoint operators

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 (6)

Operator-norm Trotter product formula on Banach spaces ⋮ Trotter--Kato product formula and fractional powers of self-adjoint generators. ⋮ Approximation of the semigroup generated by the Hamiltonian of Reggeon field theory in Bargmann space ⋮ Sharp Error Bound on Norm Convergence of Exponential Product Formula and Approximation to Kernels of Schrödinger Semigroups ⋮ Exponential product approximation to the integral kernel of the Schrödinger semigroup and to the heat kernel of the Dirichlet Laplacian ⋮ On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound

Cites Work

• Unnamed Item
• Fractional powers of self-adjoint operators and Trotter-Kato product formula
• On error estimates for the Trotter-Kato product formula
• Error bounds on exponential product formulas for Schrödinger operators
• Error estimate in operator norm of exponential product formulas for propagators of parabolic evolution equations
• Error estimate in operator norm for Trotter-Kato product formula
• Note on product formulas for operator semigroups
• On the Product of Semi-Groups of Operators

This page was built for publication: A remark on operator-norm convergence of Trotter-Kato product formula