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July 2015 On operators which are power similar to hyponormal operators
Sungeun Jung, Eungil Ko, Mee-Jung Lee
Osaka J. Math. 52(3): 833-849 (July 2015).


In this paper, we study power similarity of operators. In particular, we show that if $T \in \mathit{PS}(H)$ (defined below) for some hyponormal operator $H$, then $T$ is subscalar. From this result, we obtain that such an operator with rich spectrum has a nontrivial invariant subspace. Moreover, we consider invariant and hyperinvariant subspaces for $T \in \mathit{PS}(H)$.


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Sungeun Jung. Eungil Ko. Mee-Jung Lee. "On operators which are power similar to hyponormal operators." Osaka J. Math. 52 (3) 833 - 849, July 2015.


Published: July 2015
First available in Project Euclid: 17 July 2015

zbMATH: 1323.47022
MathSciNet: MR3370477

Primary: 47A11
Secondary: 47A15 , 47B20

Rights: Copyright © 2015 Osaka University and Osaka City University, Departments of Mathematics

Vol.52 • No. 3 • July 2015
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