On Analytic Roots of Hyponormal Operators
- 주제(키워드) Analytic roots of hyponormal operators , invariant subspaces , subscalar operators
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Birkhauser Verlag AG
- 발행년도 2017
- URI http://www.dcollection.net/handler/ewha/000000147020
- 본문언어 영어
- Published As http://dx.doi.org/10.1007/s00009-017-0998-3
초록/요약
In this paper, we provide a condition under which analytic roots of hyponormal operators (defined below) have scalar extensions. As an application, we show that such analytic roots of hyponormal operators have nontrivial hyperinvariant subspaces. We also give some structures for analytic roots of hyponormal operators. Finally, we verify that the product of some analytic root of a hyponormal operator and an algebraic operator which are commuting is subscalar. © 2017, Springer International Publishing AG.
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