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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.
In: Ural Mathematical Journal, Vol. 3, No. 2 (5), 2017, p. 40-45.

Research output: Contribution to journal › Article › peer-review

Harvard

Berdysheva, EE & Filatova, MA 2017, 'ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE', Ural Mathematical Journal, vol. 3, no. 2 (5), pp. 40-45. https://doi.org/10.15826/umj.2017.2.006

APA

Berdysheva, E. E., & Filatova, M. A. (2017). ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE. Ural Mathematical Journal, 3(2 (5)), 40-45. https://doi.org/10.15826/umj.2017.2.006

Vancouver

Berdysheva EE, Filatova MA. ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE. Ural Mathematical Journal. 2017;3(2 (5)):40-45. doi: 10.15826/umj.2017.2.006

Author

Berdysheva, Elena E. ; Filatova, Maria A. / ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE. In: Ural Mathematical Journal. 2017 ; Vol. 3, No. 2 (5). pp. 40-45.

BibTeX

@article{69fb95c675a04fdcb641857c0a67cf36,
title = "ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE",
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.",
author = "Berdysheva, {Elena E.} and Filatova, {Maria A.}",
year = "2017",
doi = "10.15826/umj.2017.2.006",
language = "English",
volume = "3",
pages = "40--45",
journal = "Ural Mathematical Journal",
issn = "2414-3952",
publisher = "Институт математики и механики им. Н.Н. Красовского УрО РАН",
number = "2 (5)",

}

RIS

TY - JOUR

T1 - ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE

AU - Berdysheva, Elena E.

AU - Filatova, Maria A.

PY - 2017

Y1 - 2017

N2 - 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.

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.

UR - https://elibrary.ru/item.asp?id=32334097

U2 - 10.15826/umj.2017.2.006

DO - 10.15826/umj.2017.2.006

M3 - Article

VL - 3

SP - 40

EP - 45

JO - Ural Mathematical Journal

JF - Ural Mathematical Journal

SN - 2414-3952

IS - 2 (5)

ER -

ID: 6567224