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Remarks on the operator norm localization property

✍ Scribed by Xianjin Wang


Publisher
Coastal and Estuarine Research Federation
Year
2011
Tongue
English
Weight
201 KB
Volume
32
Category
Article
ISSN
1860-6261

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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