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

✍ Scribed by Hiroshi Tamura


Publisher
SP Birkhäuser Verlag Basel
Year
2000
Tongue
English
Weight
283 KB
Volume
37
Category
Article
ISSN
0378-620X

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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