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Common cyclic vectors for classes of operators having common spanning root spaces
Authors:Juan Marí  n Jr.,Steven M. Seubert
Affiliation:a Division of Mathematics, Alfred University, Alfred, NY 14802-1205, USA
b Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403-0221, USA
Abstract:
The purpose of this paper is to show that various classes of operators having a common collection of root spaces whose closed linear span equals the entire space have dense sets of common cyclic vectors.
Keywords:Common cyclic vectors   Complete operators   Block upper-triangular operators
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