Power bounded strictly cyclic operators

Rosenthal, Erik J.

doi:10.1090/S0002-9939-1978-0507322-2

Power bounded strictly cyclic operators
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Proc. Amer. Math. Soc. 72 (1978), 276-280 Request permission

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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