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2009

Cyclic vectors

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Full-Text Articles in Other Mathematics

Common Cyclic Vectors For Unitary Operators, William T. Ross, Warren R. Wogen Jan 2009

Common Cyclic Vectors For Unitary Operators, William T. Ross, Warren R. Wogen

Department of Math & Statistics Faculty Publications

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.