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Spectral decomposability of rank-one perturbations of normal operators

Title
Spectral decomposability of rank-one perturbations of normal operators
Authors
Foias C.Jung I.B.Ko E.Pearcy C.
Ewha Authors
고응일
SCOPUS Author ID
고응일scopus
Issue Date
2011
Journal Title
Journal of Mathematical Analysis and Applications
ISSN
0022-247XJCR Link
Citation
vol. 375, no. 2, pp. 602 - 609
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
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.
DOI
10.1016/j.jmaa.2010.09.037
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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