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

Elena E. Berdysheva, Maria A. Filatova

Результат исследований: Вклад в журналСтатьяНаучно-исследовательскаярецензирование

Аннотация

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.
Язык оригиналаАнглийский
Страницы (с-по)40-45
ЖурналURAL MATHEMATICAL JOURNAL
Том3
Номер выпуска2 (5)
DOI
СостояниеОпубликовано - 2017

Отпечаток

Contraction Semigroup
Strongly Continuous Semigroups
H-space
Infinitesimal Generator
Bounded Linear Operator
Best Approximation
Hilbert space
Denote
Norm
Operator
Estimate
Class

ГРНТИ

  • 27.00.00 МАТЕМАТИКА

Уровень публикации

  • Перечень ВАК

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ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE. / Berdysheva, Elena E.; Filatova, Maria A.

В: URAL MATHEMATICAL JOURNAL, Том 3, № 2 (5), 2017, стр. 40-45.

Результат исследований: Вклад в журналСтатьяНаучно-исследовательскаярецензирование

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AU - Filatova, Maria A.

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AB - 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.

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