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자연과학대학
수학전공
Journal papers
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Some connections between an operator and its Helton class
Title
Some connections between an operator and its Helton class
Authors
Kim I.
;
Kim Y.
;
Ko E.
;
Lee J.E.
Ewha Authors
고응일
;
이지은
SCOPUS Author ID
고응일
; 이지은
Issue Date
2008
Journal Title
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
Citation
Journal of Mathematical Analysis and Applications vol. 340, no. 2, pp. 1235 - 1240
Indexed
SCI; SCIE; SCOPUS
Document Type
Article
Abstract
In this paper we show that the nilpotent perturbation of operators in the Helton class of p-hyponormal operators has scalar extensions. As a corollary we get that the nilpotent perturbation of each operator in the Helton class of p-hyponormal operators has a nontrivial invariant subspace if its spectrum has nonempty interior in the plane. © 2007 Elsevier Inc. All rights reserved.
DOI
10.1016/j.jmaa.2007.09.011
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