Remarks on the Operator-Norm Convergence of the Trotter Product Formula

Hagen Neidhardt, Artur Stephan, Valentin A. Zagrebnov

Type: Article

Publication Date: 2018-03-12

Citations: 11

DOI: https://doi.org/10.1007/s00020-018-2424-z

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arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
Integral Equations and Operator Theory - View

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+ PDF Chat	Trotter Product Formula and Linear Evolution Equations on Hilbert Spaces	2019	Hagen Neidhardt Artur Stephan Valentin A. Zagrebnov
+ PDF Chat	Operator-Norm Convergence of the Trotter Product Formula on Hilbert and Banach Spaces: A Short Survey	2018	Hagen Neidhardt Artur Stephan Valentin A. Zagrebnov
+ PDF Chat	Operator-norm Trotter product formula on Banach spaces	2023	Valentin A. Zagrebnov
+	Solution Operator for Non-Autonomous Perturbation of Gibbs Semigroup	2020	Valentin A. Zagrebnov
+	Speed of convergence of Chernoff approximations for two model examples: heat equation and transport equation	2020	Pavel S. Prudnikov
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Works Cited by This (7)

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+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato
+ PDF Chat	On the product of semi-groups of operators	1959	H. F. Trotter
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+ PDF Chat	Product formulas, nonlinear semigroups, and addition of unbounded operators	1974	Paul R. Chernoff
+	Note on Degree of Approximation to an Integral by Riemann Sums	1937	J. L. Walsh W. E. Sewell
+ PDF Chat	On convergence rate estimates for approximations of solution operators for linear non-autonomous evolution equations	2017	Hagen Neidhardt Andreas Stephan Valentin A. Zagrebnov
+	OPERATOR-NORM CONVERGENCE OF THE TROTTER PRODUCT FORMULA FOR HOLOMORPHIC SEMIGROUPS	2001	Vincent Cachia Valentin A. Zagrebnov