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On the Similarity of Centered Operators to Contractions

Srdjan Petrović
Proceedings of the American Mathematical Society
Vol. 121, No. 2 (Jun., 1994), pp. 533-541
DOI: 10.2307/2160432
Stable URL: http://www.jstor.org/stable/2160432
Page Count: 9
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On the Similarity of Centered Operators to Contractions
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Abstract

In this paper we show that every power-bounded operator-weighted shift with commuting normal weights is similar to a contraction. As an application of this result, we reduce the problem of whether every centered power-bounded operator is similar to a contraction to the analogous question about quasi-invertible centered operators.

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