On operators which are power similar to hyponormal operators

Sungeun Jung, Eungil Ko, Mee Jung Lee

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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 languageEnglish
Pages (from-to)833-847
Number of pages15
JournalOsaka Journal of Mathematics
Issue number3
StatePublished - 1 Jul 2015

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