Cyclic Operators, Commutators, and Absolutely Continuous Measures

Joanne Dombrowski

doi:10.2307/2046429

Cyclic Operators, Commutators, and Absolutely Continuous Measures

Joanne Dombrowski

Wright State University

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	American English
Journal	Proceedings of the American Mathematical Society
Volume	100
DOIs	https://doi.org/10.2307/2046429
State	Published - Jul 1 1987

Disciplines

Applied Mathematics
Applied Statistics
Mathematics
Physical Sciences and Mathematics
Statistics and Probability

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Cite this

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title = "Cyclic Operators, Commutators, and Absolutely Continuous Measures",

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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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.

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DO - 10.2307/2046429

M3 - Article

VL - 100

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

ER -

Cyclic Operators, Commutators, and Absolutely Continuous Measures

Abstract

Disciplines

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