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Hyperinvariant subspaces for a class of quasinilpotent operators

Title
Hyperinvariant subspaces for a class of quasinilpotent operators
Authors
Jung, Il BongKo, EungilPearcy, Carl
Ewha Authors
고응일Carl M. Pearcy
SCOPUS Author ID
고응일scopus
Issue Date
2019
Journal Title
STUDIA MATHEMATICA
ISSN
0039-3223JCR Link

1730-6337JCR Link
Citation
STUDIA MATHEMATICA vol. 245, no. 3, pp. 289 - 296
Keywords
invariant subspacehyperinvariant subsacequasinilpotent operatorcentered operatorweakly centered operator
Publisher
POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
Indexed
SCI; SCIE; SCOPUS WOS
Document Type
Article
Abstract
Quasinilpotent operators on Hilbert space are very little understood. Except for the classification, up to similarity, as parts of quasinilpotent backward weighted shifts of infinite multiplicity (Foias and Pearcy, 1974), and the recently introduced technique of extremal vectors (see the references), there are few known structure theorems or theorems proving the existence of invariant or hyperinvariant subspaces for such operators. In this paper we use a structure theorem for the class of weakly centered operators (Paulsen et al., 1995) to obtain a structure theorem for a certain subclass of quasinilpotent operators that immediately yields the existence of hyperinvariant subspaces for such operators.
DOI
10.4064/sm171209-18-1
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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