Document Type

Article

Publication Date

7-1987

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.

Comments

First published in Proceedings of the American Mathematical Society 100.3 (1987), published by the American Mathematical Society.

DOI

10.2307/2046429