On the similarity of centered operators to contractions

Petrović, Srdjan

doi:10.1090/S0002-9939-1994-1182705-8

On the similarity of centered operators to contractions
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Proc. Amer. Math. Soc. 121 (1994), 533-541 Request permission

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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