Common Cyclic Vectors for Unitary Operators

Authors

William T. Ross, University of RichmondFollow
Warren R. Wogen

Abstract

In this paper, we determine whether or not certain natural classes of unitary multiplication operators on L²(dƟ) have common cyclic vectors. For some classes which have common cyclic vectors, we obtain a classification of these vectors.

Document Type

Article

Publication Date

2009

Publisher Statement

Copyright © 2009 Theta Foundation. This article first appeared in Journal of Operator Theory 62:1 (2009), 65-81.

The definitive version is available at: http://www.mathjournals.org/jot/2009-062-001/2009-062-001-003.html

Full Citation:

Ross, William T., and Warren R. Wogen. "Common Cyclic Vectors for Unitary Operators." Journal of Operator Theory 62, no. 1 (2009): 65-81.

Recommended Citation

Ross, William T. and Wogen, Warren R., "Common Cyclic Vectors for Unitary Operators" (2009). Department of Math & Statistics Faculty Publications. 1.
https://scholarship.richmond.edu/mathcs-faculty-publications/1