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On the norm convergence of the self-adjoint Trotter-Kato product formula with error bound

✍ Scribed by Takashi Ichinose; Hideo Tamura


Publisher
Indian Academy of Sciences
Year
2002
Tongue
English
Weight
117 KB
Volume
112
Category
Article
ISSN
0253-4142

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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