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Commutants and cyclic vectors

Authors: James A. Deddens, Ralph Gellar and Domingo A. Herrero
Journal: Proc. Amer. Math. Soc. 43 (1974), 169-170
MSC: Primary 47A65
MathSciNet review: 0328643
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Abstract: This note analyzes the relationship between various statements concerning the commutant of a bounded linear operator on a Hilbert space and the existence of cyclic vectors for the operator and its adjoint.

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Keywords: Commutant, cyclic vectors, weighted shift
Article copyright: © Copyright 1974 American Mathematical Society

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