On the complete tuple of roots of the operator equation corresponding to a polynomial operator bundle

A. S. Markus; I. V. Mereuca

doi:10.1070/IM1973v007n05ABEH001996

On the complete tuple of roots of the operator equation corresponding to a polynomial operator bundle

A. S. Markus, I. V. Mereuca

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

The paper treats the relationship between spectral properties of an nth degree polynomial operator bundle and spectral properties of roots of the corresponding operator equation. Basic to this investigation is the concept, introduced in this paper, of Vandermonde operator.

Original language	English
Pages (from-to)	1105-1128
Number of pages	24
Journal	Mathematics of the USSR - Izvestija
Volume	7
Issue number	5
DOIs	https://doi.org/10.1070/IM1973v007n05ABEH001996
State	Published - 31 Oct 1973

ASJC Scopus subject areas

General Mathematics

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title = "On the complete tuple of roots of the operator equation corresponding to a polynomial operator bundle",

abstract = "The paper treats the relationship between spectral properties of an nth degree polynomial operator bundle and spectral properties of roots of the corresponding operator equation. Basic to this investigation is the concept, introduced in this paper, of Vandermonde operator.",

author = "Markus, {A. S.} and Mereuca, {I. V.}",

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On the complete tuple of roots of the operator equation corresponding to a polynomial operator bundle

Abstract

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