Rate of convergence in Trotter's approximation theorem and its applications

DOI10.3836/tjm/1502179372zbMath1528.41038arXiv2011.13780WikidataQ122910983 ScholiaQ122910983MaRDI QIDQ6116780

Ryuya Namba

Publication date: 18 July 2023

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.13780

zbMATH Keywords

operator semigroupTrotter's approximation theoremBerry-Esseen-type estimate

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Cites Work

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• Trotter's approximation of semigroups and order of convergence in \(C^{2, \alpha }\)-spaces
• Approximation of semi-groups of operators
• Erratum to: Rate of convergence in Trotter's approximation theorem
• Rate of convergence in Trotter's approximation theorem
• Semigroups of linear operators and applications to partial differential equations
• A quantitative version of Trotter's approximation theorem
• Large deviation and the tangent cone at infinity of a crystal lattice
• Extensions of Trotter's operator semigroup approximation theorems
• Stochastic Analysis and Diffusion Processes
• A CENTRAL LIMIT THEOREM FOR MAGNETIC TRANSITION OPERATORS ON A CRYSTAL LATTICE
• One-Parameter Semigroups for Linear Evolution Equations
• Standard realizations of crystal lattices via harmonic maps
• A proof of the Trotter-Kato theorem on approximation of semi-groups

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