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A remark on the norm of the Banach space of uniformly strong convergent trigonometric series

✍ Scribed by J. Dobi


Publisher
Akadmiai Kiad
Year
1988
Tongue
English
Weight
100 KB
Volume
51
Category
Article
ISSN
1588-2632

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Some Remarks on Operator-Norm Convergenc
✍ SΓΆnke Blunck πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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