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

Elena E. Berdysheva, Maria A. Filatova

Research output: Contribution to journalArticlepeer-review

Abstract

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 Q2 = {x ∈ D(A2) : ||A2x|| < 1}, where D(A2) denotes the domain of A2.
Original languageEnglish
Pages (from-to)40-45
JournalUral Mathematical Journal
Volume3
Issue number2 (5)
DOIs
Publication statusPublished - 2017

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  • 27.00.00 MATHEMATICS

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  • VAK List

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