ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE

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...

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Bibliographic Details
Main Authors: Elena E. Berdysheva, Maria A. Filatova
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2017-12-01
Series:Ural Mathematical Journal
Subjects:
Online Access:https://umjuran.ru/index.php/umj/article/view/100
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