Tridiagonal Matrix Representations of Cyclic Self-Adjoint Operators II
Document Type
Article
Publication Date
11-1-1985
Identifier/URL
41054171 (Pure)
Abstract
A bounded cyclic self-adjoint operator C defined on a separable Hilbert space H can be represented as a tridiagonal matrix with respect to the basis generated by the cyclic vector. An operator J can then be defined so that CJ − JC = −2iK where K also has tridiagonal form. If the subdiagonal elements of C converge to a non-zero limit and if K is of trace class then C must have an absolutely continuous part.
Repository Citation
Dombrowski, J.
(1985). Tridiagonal Matrix Representations of Cyclic Self-Adjoint Operators II. Pacific Journal of Mathematics, 120 (1), 47-53.
https://corescholar.libraries.wright.edu/math/527
DOI
10.2140/pjm.1985.120.47
