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Power Bounded Strictly Cyclic Operators

Erik J. Rosenthal
Proceedings of the American Mathematical Society
Vol. 72, No. 2 (Nov., 1978), pp. 276-280
DOI: 10.2307/2042790
Stable URL: http://www.jstor.org/stable/2042790
Page Count: 5
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Power Bounded Strictly Cyclic Operators
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Abstract

We show that a power bounded hereditarily strictly cyclic operator on Hilbert space is similar to a contraction. We also show that certain "almost unitary" operators are not strictly cyclic.

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