Journal Title
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Publisher
Springer, New York, NY
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Authors: Paul R Halmos
Publish Date: 1982
Volume: , Issue: , Pages: 86-89
Abstract
An operator A on a Hilbert space H has a cyclic vector f if the vectors f Af A 2 f span H Equivalently f is a cyclic vector for A in case the set of all vectors of the form pAf where p varies over all polynomials is dense in H The simple unilateral shift has many cyclic vectors a trivial example is e0
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