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Remarks on Complex Symmetric Operators

Title
Remarks on Complex Symmetric Operators
Authors
Jung, SungeunKo, EungilLee, Ji Eun
Ewha Authors
고응일
SCOPUS Author ID
고응일scopus
Issue Date
2016
Journal Title
MEDITERRANEAN JOURNAL OF MATHEMATICS
ISSN
1660-5446JCR Link1660-5454JCR Link
Citation
vol. 13, no. 2, pp. 719 - 728
Keywords
Complex symmetric operatorInvariant subspaceSpectral radius algebra
Publisher
SPRINGER BASEL AG
Indexed
SCIE; SCOPUS WOS scopus
Abstract
An operator is said to be complex symmetric if there exists a conjugation C on such that . In this paper, we study the spectral radius algebras for complex symmetric operators. In particular, we prove that if A is a complex symmetric operator, then the spectral radius algebra associated with A has a nontrivial invariant subspace under some conditions. Finally, we give some relations between and (defined below) when A is complex symmetric.
DOI
10.1007/s00009-015-0520-8
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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