M. I. Ismailov, “On spectral property of matrix operators in Banach space”, Izv. Saratov Univ. Math. Mech. Inform., 2009, Volume 9, Issue 4(1),Pages <nobr>23

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Mathematics

On spectral property of matrix operators in Banach space

M. I. Ismailov

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

Abstract: The paper is covers to the investigation of spectral property of matrix operators in Banach space. One matrix operator obtained on linearization of a polynomial operator bundle is being searched resolution of identity for its spectral properties.

Key words: spectral measure, unit expansion, spectral operator, matrix operator, polynomial operator bundle.

UDC: 517.984

DOI: 10.18500/1816-9791-2009-9-4-1-23-28