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On Analytic Roots of Hyponormal Operators

Title
On Analytic Roots of Hyponormal Operators
Authors
Jung S.Ko E.
Ewha Authors
고응일
SCOPUS Author ID
고응일scopus
Issue Date
2017
Journal Title
Mediterranean Journal of Mathematics
ISSN
1660-5446JCR Link
Citation
vol. 14, no. 5
Keywords
Analytic roots of hyponormal operatorsinvariant subspacessubscalar operators
Publisher
Birkhauser Verlag AG
Indexed
SCIE; SCOPUS WOS scopus
Abstract
In this paper, we provide a condition under which analytic roots of hyponormal operators (defined below) have scalar extensions. As an application, we show that such analytic roots of hyponormal operators have nontrivial hyperinvariant subspaces. We also give some structures for analytic roots of hyponormal operators. Finally, we verify that the product of some analytic root of a hyponormal operator and an algebraic operator which are commuting is subscalar. © 2017, Springer International Publishing AG.
DOI
10.1007/s00009-017-0998-3
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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