Cite this article as:

Ismailov M. I. On spectrum of some classes of matrix operators . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2012, vol. 12, iss. 2, pp. 3-6. DOI: https://doi.org/10.18500/1816-9791-2012-12-2-3-6

Language:

Russian

Heading:

Mathematics

UDC:

517.984

On spectrum of some classes of matrix operators

Authors:

Ismailov Migdad Imdadovich, Baku State University, Azerbaijan, AZ-1073/1, Baku, Z. Khalilov st., 23 , miqdadismailov1@rambler.ru

Abstract:

The paper is devoted to investigation of the spectrum of some classes of matrix operators. The relations between the parts of the spectrum of the matrix operators with corresponding parts of its elements are established.

Key words:

spectrum, spectral operator, expansion of a unit, spectral measure, spectral operator of scalar type.

DOI:

https://doi.org/10.18500/1816-9791-2012-12-2-3-6

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