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수리과학연구소
Journal papers
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Separating classes of composition operators via subnormal condition
Title
Separating classes of composition operators via subnormal condition
Authors
Jung I.B.
;
Lee M.R.
;
Park S.S.
Ewha Authors
박상수
Issue Date
2007
Journal Title
Proceedings of the American Mathematical Society
ISSN
0002-9939
Citation
Proceedings of the American Mathematical Society vol. 135, no. 12, pp. 3955 - 3965
Indexed
SCI; SCIE; SCOPUS
Document Type
Article
Abstract
Several classes have been considered to study the weak subnormalities of Hilbert space operators. One of them is n-hypnormality, which comes from the Bram-Halmos criterion for subnormal operators. In this note we consider E(n)-hyponormality, which is the parallel version corresponding to the Embry characterization for subnormal operators. We characterize E(n)-hyponormality of composition operators via k-th Radon-Nikodym derivatives and present some examples to distinguish the classes. © 2007 American Mathematical Society.
DOI
10.1090/S0002-9939-07-09003-X
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