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Note on the Norm Convergence of the Unitary Trotter Product Formula

✍ Scribed by Takashi Ichinose; Hideo Tamura


Publisher
Springer
Year
2004
Tongue
English
Weight
128 KB
Volume
70
Category
Article
ISSN
0377-9017

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Some Remarks on Operator-Norm Convergenc
✍ Sönke Blunck 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 206 KB

We extend the Trotter-Kato-Chernoff theory of strong approximation of C 0 semigroups on Banach spaces to operator-norm approximation of analytic semigroups with error estimate. As application we obtain a criterion for the operator-norm convergence of the Trotter product formula on Banach spaces with