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

PFMT, 2013 Issue 3(16), Pages 55–60 (Mi pfmt253)

This article is cited in 5 papers

MATHEMATICS

The inverse of some class of operators in Banach space and its several applications

A. A. Atvinovskii, A. R. Mirotin

F. Scorina Gomel State University, Gomel

Abstract: The paper deals with the method proposed for the inverse of some class of operators. The result is applied to some equations with closed operators. The examples are considered.

Keywords: Markov function, Krein class, functional calculus, closed operator, operator equation.

UDC: 517.983.23: 517.983.5

Received: 23.04.2013



© Steklov Math. Inst. of RAS, 2024