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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Strongly strictly cyclic weighted shifts


Author: James H. Hedlund
Journal: Proc. Amer. Math. Soc. 57 (1976), 119-121
MSC: Primary 47B37
DOI: https://doi.org/10.1090/S0002-9939-1976-0402530-1
MathSciNet review: 0402530
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Abstract: An example is given of a unilateral weighted shift on complex Hilbert space which is strictly cyclic but not strongly strictly cyclic. Similar examples of weighted shifts on the sequence spaces $ {l^p}$, for $ 1 < p < \infty $, are indicated.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0402530-1
Article copyright: © Copyright 1976 American Mathematical Society