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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2012 Volume 12, Issue 2, Pages 3–6 (Mi isu289)

Mathematics

On spectrum of some classes of matrix operators

M. I. Ismailov

Baku State University, Chair of Theory of Function and Functional Analysis

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.

UDC: 517.984

DOI: 10.18500/1816-9791-2012-12-2-3-6



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