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SPECTRAL PROPERTIES BETWEEN OPERATOR MATRICES AND HELTON CLASS

Title
SPECTRAL PROPERTIES BETWEEN OPERATOR MATRICES AND HELTON CLASS
Authors
Lee, Ji Eun
Ewha Authors
이지은
Issue Date
2013
Journal Title
OPERATORS AND MATRICES
ISSN
1846-3886JCR Link
Citation
vol. 7, no. 4, pp. 813 - 823
Keywords
Helton classoperator matrixthe property (beta)(epsilon)the generalized Weyl's theorem
Publisher
ELEMENT
Indexed
SCIE; SCOPUS WOS
Abstract
In this paper, we study properties of Helton class of an operator matrix. In particular, we show that some upper operator matrix belongs to Helton class of an operator matrix have the property (beta)(epsilon). As an application, we get that such operators have nontrivial invariant sub-spaces. Finally, we prove that Helton class preserves the generalized Weyl's theorem under some conditions.
DOI
10.7153/oam-07-45
Appears in Collections:
연구기관 > 수리과학연구소 > Journal papers
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