Trotter--Kato product formula and fractional powers of self-adjoint generators.
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Publication:1428442
DOI10.1016/S0022-1236(03)00177-0zbMath1066.47038OpenAlexW1965107561MaRDI QIDQ1428442
Hagen Neidhardt, Valentin A. Zagrebnov, Takashi Ichinose
Publication date: 29 March 2004
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-1236(03)00177-0
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Cites Work
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- Fractional powers of self-adjoint operators and Trotter-Kato product formula
- On error estimates for the Trotter-Kato product formula
- Error estimate in operator norm of exponential product formulas for propagators of parabolic evolution equations
- 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
- Trotter-Kato product formula and operator-norm convergence
- Note on product formulas for operator semigroups
- Caractérisation de quelques espaces d'interpolation
- On the Trotter-Lie product formula
- Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
- Semigroup product formulas and addition of unbounded operators
- 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.