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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On cyclic vectors of weighted shifts


Author: M. Rabindranathan
Journal: Proc. Amer. Math. Soc. 44 (1974), 293-299
MSC: Primary 47B37
MathSciNet review: 0350491
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Abstract: Sufficient conditions on a sequence are given in order that the linear manifold spanned by its right translates is dense in certain Hilbert spaces of sequences.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0350491-4
PII: S 0002-9939(1974)0350491-4
Keywords: Cyclic vector, weighted sequence space, shift operator, outer function
Article copyright: © Copyright 1974 American Mathematical Society