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자연과학대학
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Journal papers
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Generalizations of the relation of quasisimilarity for operators
Title
Generalizations of the relation of quasisimilarity for operators
Authors
Bercovici H.
;
Jung I.B.
;
Ko E.
;
Pearcy C.
Ewha Authors
고응일
SCOPUS Author ID
고응일
Issue Date
2019
Journal Title
Acta Scientiarum Mathematicarum
ISSN
0001-6969
Citation
Acta Scientiarum Mathematicarum vol. 85, no. 3-4, pp. 681 - 691
Keywords
Ampliation quasisimilarity
;
Hyperinvariant subspace
;
Quasi-affinity
;
Quasisimilarity
;
Quasitriangular operator
Publisher
University of Szeged
Indexed
SCOPUS
Document Type
Article
Abstract
In this note we first briefly review the progress on the hyperinvari-ant subspace problem for operators on Hilbert space made possible by the equivalence relation of ampliation quasisimilarity recently introduced in [7]. Then we introduce another equivalence relation, which we call pluquasisimilarity , with bigger equivalence classes than ampliation quasisimilarity but very different in appearance, which preserves the existence of hyperinvariant sub-spaces for operators, and thus may be useful in the future. We also compare these with two other equivalence relations, injection-similarity and complete injection-similarity, introduced long ago by Sz.-Nagy and Foias in [13]. © Bolyai Institute, University of Szeged.
DOI
10.14232/actasm-019-765-9
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