Article
Cyclic Operators, Commutators, and Absolutely Continuous Measures
Proceedings of the American Mathematical Society
Document Type
Article
Publication Date
7-1-1987
Disciplines
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.
DOI
10.2307/2046429
Citation Information
Joanne Dombrowski. "Cyclic Operators, Commutators, and Absolutely Continuous Measures" Proceedings of the American Mathematical Society Vol. 100 Iss. 3 (1987) p. 457 - 463 ISSN: 0002-9939 Available at: http://works.bepress.com/joanne_dombrowski/3/
First published in Proceedings of the American Mathematical Society 100.3 (1987), published by the American Mathematical Society.