Spectral decomposability of rank-one perturbations of normal operators
- 주제(키워드) Decomposable operator , Hyperinvariant subspace , Invariant subspace , Normal operator , Rank-one perturbation
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 ACADEMIC PRESS INC ELSEVIER SCIENCE
- 발행년도 2011
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000091758
- 본문언어 영어
- Published As http://dx.doi.org/10.1016/j.jmaa.2010.09.037
초록/요약
This paper is a continuation of the study by Foias, Jung, Ko, and Pearcy (2007) [4] and Foias, Jung, Ko, and Pearcy (2008) [5] of rank-one perturbations of diagonalizable normal operators. In Foias, Jung, Ko, and Pearcy (2007) [4] we showed that there is a large class of such operators each of which has a nontrivial hyperinvariant subspace, and in Foias, Jung, Ko, and Pearcy (2008) [5] we proved that the commutant of each of these rank-one perturbations is abelian. In this paper we show that the operators considered in Foias, Jung, Ko, and Pearcy (2007) [4] have more structure - namely, that they are decomposable operators in the sense of Colojoarǎ and Foias (1968) [1]. © 2010 Elsevier Inc.
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