Cyclic Operators, Commutators, and Absolutely Continuous Measures

J. Dombrowski

doi:10.2307/2046429

Cyclic Operators, Commutators, and Absolutely Continuous Measures

J. Dombrowski

Mathematics and Statistics

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

Abstract

Commutator equations are used to study the relationship between the tridiagonal matrix structure of an unbounded cyclic selfadjoint operator and its spectrum. Sufficient conditions are given for absolute continuity. Results are related to the study of systems of orthogonal polyomials for which the measure of orthogonality is supported on an unbounded subset of the real line.

Original language	English
Pages (from-to)	457-463
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	100
Issue number	3
DOIs	https://doi.org/10.2307/2046429
State	Published - Jul 1987

ASJC Scopus Subject Areas

General Mathematics
Applied Mathematics

Keywords

Absolute continuity
Commutators
Orthogonal polynomials

Disciplines

Applied Mathematics
Applied Statistics
Mathematics

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10.2307/2046429License: Unspecified

Cite this

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abstract = " Commutator equations are used to study the relationship between the tridiagonal matrix structure of an unbounded cyclic selfadjoint operator and its spectrum. Sufficient conditions are given for absolute continuity. Results are related to the study of systems of orthogonal polyomials for which the measure of orthogonality is supported on an unbounded subset of the real line.",

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year = "1987",

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AB - Commutator equations are used to study the relationship between the tridiagonal matrix structure of an unbounded cyclic selfadjoint operator and its spectrum. Sufficient conditions are given for absolute continuity. Results are related to the study of systems of orthogonal polyomials for which the measure of orthogonality is supported on an unbounded subset of the real line.

KW - Absolute continuity

KW - Commutators

KW - Orthogonal polynomials

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JO - Proceedings of the American Mathematical Society

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Cyclic Operators, Commutators, and Absolutely Continuous Measures

Abstract

ASJC Scopus Subject Areas

Keywords

Disciplines

Access to Document

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