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