Abstract
In this paper, we study power similarity of operators. In particular, we show that if T ɛ 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 ɛ PS(H).
| Original language | English |
|---|---|
| Pages (from-to) | 833-847 |
| Number of pages | 15 |
| Journal | Osaka Journal of Mathematics |
| Volume | 52 |
| Issue number | 3 |
| State | Published - 1 Jul 2015 |
Bibliographical note
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