Abstract
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 $T \in \mathit{PS}(H)$.
Citation
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.
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