Cite this article as:

Maryushenkov S. V. The conditions of invertibility of a class nonselfadjoint operators . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2012, vol. 12, iss. 4, pp. 14-19. DOI: https://doi.org/10.18500/1816-9791-2012-12-4-14-19

Language:

Russian

Heading:

Mathematics

UDC:

517.937+517.983

The conditions of invertibility of a class nonselfadjoint operators

Authors:

Maryushenkov Stanislav Vladimirovich, Voronezh State University, Voronezh State University, Russia, 394006, Voronezh, Universitetskaya pl., 1 , stasint1@mail.ru

Abstract:

In this work we obtain the conditions of invertibility of a class of nonselfadjoint operator that are difference between the nonbounded antisymmetric and the normal operator.

Key words:

nonselfadjoint operator, normal operator.

DOI:

https://doi.org/10.18500/1816-9791-2012-12-4-14-19

References

1. Баскаков А. Г. Дихотомия спектра несамосопряжен-

ных операторов // Сиб. мат. журн. 1991. Т. 32, № 3.

С. 24–30.

2. Баскаков А. Г., Юргелас В. В. Круговая дихотомия

спектра одного класса несамосопряженных операторов

// Изв. вузов. 1994. № 10. С. 12–18.

3. Годунов С. К. Современные аспекты линейной ал-