ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE
| Autor: | Elena E. Berdysheva, Maria A. Filatova |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Ural Mathematical Journal, Vol 3, Iss 2 (2017) |
| Druh dokumentu: | article |
| ISSN: | 2414-3952 24772984 |
| DOI: | 10.15826/umj.2017.2.006 |
| Popis: | Let \(A\) be the infinitesimal generator of a strongly continuous contraction semigroup in a Hilbert space \(H\). We give an upper estimate for the best approximation of the operator \(A\) by bounded linear operators with a prescribed norm in the space \(H\) on the class \(Q_2 = \{x\in \mathcal{D}(A^2) : \|A^2 x\| \leq 1\}\), where \(\mathcal D(A^2)\) denotes the domain of \(A^2\). |
| Databáze: | Directory of Open Access Journals |
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