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

Elena E. Berdysheva, Maria A. Filatova

Resultado de la investigación: Articlerevisión exhaustiva

Resumen

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.
Idioma originalEnglish
Páginas (desde-hasta)40-45
PublicaciónUral Mathematical Journal
Volumen3
N.º2 (5)
DOI
EstadoPublished - 2017

GRNTI

  • 27.00.00 MATHEMATICS

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