A. R. Mirotin, A. A. Atvinovskii, “On some properties of a functional calculus of closed operators on Banach space”, PFMT, 2016, no. 4(29), 63

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PFMT, 2016, Issue 4(29), Pages 63–67 (Mi pfmt473)

This article is cited in 2 scientific papers (total in 2 papers)

MATHEMATICS

On some properties of a functional calculus of closed operators on Banach space

A. R. Mirotin, A. A. Atvinovskii

F. Sсorina Gomel State University

Abstract: Some topics in the perturbation theory related to the functional calculus of closed operators in Banach space which belongs to the authors are considered. Moment inequality for the above mentioned functional calculus is also proved.

Keywords: perturbation theory of linear operators, operator Lipschitz functions, operator differentiable functions, Gateaux derivative, moment inequality.

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UDC: 517.983.23:517.983.5
Received: 26.10.2016

Citation: A. R. Mirotin, A. A. Atvinovskii, “On some properties of a functional calculus of closed operators on Banach space”, PFMT, 2016, no. 4(29), 63–67

Citation in format AMSBIB

\Bibitem{MirAtv16}

\by A.~R.~Mirotin, A.~A.~Atvinovskii

\paper On some properties of a functional calculus of closed operators on Banach space

\jour PFMT

\yr 2016

\issue 4(29)

\pages 63--67

\mathnet{http://mi.mathnet.ru/pfmt473}

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This publication is cited in the following articles:

A. R. Mirotin, I. S. Kovaleva, “Preobrazovanie Markova–Stiltesa mer i sistemy s diskretnym vremenem”, PFMT, 2019, no. 1(38), 56–60
A. R. Mirotin, I. S. Kovaleva, “Sistemy diskretnogo vremeni s chastotnymi kharakteristikami tipa Markova–Stiltesa”, Izv. vuzov. Matem., 2020, no. 6, 36–47

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