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자연과학대학
수학전공
Journal papers
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Hyperinvariant subspaces for some subnormal operators
Title
Hyperinvariant subspaces for some subnormal operators
Authors
Foias C.
;
Jung I.B.
;
Ko E.
;
Pearcy C.
Ewha Authors
고응일
SCOPUS Author ID
고응일
Issue Date
2007
Journal Title
Transactions of the American Mathematical Society
ISSN
0002-9947
Citation
Transactions of the American Mathematical Society vol. 359, no. 6, pp. 2899 - 2913
Indexed
SCI; SCIE; SCOPUS
Document Type
Article
Abstract
In this article we employ a technique originated by Enflo in 1998 and later modified by the authors to study the hyperinvariant subspace problem for subnormal operators. We show that every "normalized" subnormal operator S such that either {(S*nSn)1/n} does not converge in the SOT to the identity operator or {(SnS *n)1/n} does not converge in the SOT to zero has a nontrivial hyperinvariant subspace. © 2007 American Mathematical Society.
DOI
10.1090/S0002-9947-07-04113-X
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