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자연과학대학
수학전공
Journal papers
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On scalar extensions and spectral decompositions of complex symmetric operators
Title
On scalar extensions and spectral decompositions of complex symmetric operators
Authors
Jung S.
;
Ko E.
;
Lee J.E.
Ewha Authors
고응일
;
이지은
SCOPUS Author ID
고응일
; 이지은
Issue Date
2011
Journal Title
Journal of Mathematical Analysis and Applications
ISSN
0022-247X
Citation
Journal of Mathematical Analysis and Applications vol. 384, no. 2, pp. 252 - 260
Indexed
SCI; SCIE; SCOPUS
Document Type
Article
Abstract
In this paper we prove that a complex symmetric operator with property (Δ) is subscalar. As a corollary, we get that such operators with rich spectra have nontrivial invariant subspaces. We also provide various relations for spectral decomposition properties between complex symmetric operators and their adjoints. © 2011 Elsevier Inc.
DOI
10.1016/j.jmaa.2011.05.056
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