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

 

Cyclic vectors of a cyclic operator span the space


Author: L. Gehér
Journal: Proc. Amer. Math. Soc. 33 (1972), 109-110
MSC: Primary 47.10
MathSciNet review: 0290131
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Abstract: If a bounded linear operator on a Banach space has a cyclic vector, then the set of cyclic vectors spans the space.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0290131-4
PII: S 0002-9939(1972)0290131-4
Article copyright: © Copyright 1972 American Mathematical Society