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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

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

This article is cited in 2 papers

MATHEMATICS

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

A. R. Mirotin, A. A. Atvinovskii

F. Sñorina 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.

UDC: 517.983.23:517.983.5

Received: 26.10.2016



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