On operators which are power similar to hyponormal operators

Sungeun Jung; Eungil Ko; Mee Jung Lee

On operators which are power similar to hyponormal operators

Sungeun Jung
, Eungil Ko
, Mee Jung Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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

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© 2015 American Speech-Language-Hearing Association. All rights reserved.

Cite this

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AB - 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).

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JO - Osaka Journal of Mathematics

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On operators which are power similar to hyponormal operators

Abstract

Bibliographical note

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