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Hyperinvariant subspaces for some 2 × 2 operator matrices, II
- Title
- Hyperinvariant subspaces for some 2 × 2 operator matrices, II
- Authors
- Jung I.B.; Ko E.; Pearcy C.
- Ewha Authors
- 고응일
- SCOPUS Author ID
- 고응일
- Issue Date
- 2019
- Journal Title
- Kyungpook Mathematical Journal
- ISSN
- 1225-6951
- Citation
- Kyungpook Mathematical Journal vol. 59, no. 2, pp. 225 - 231
- Keywords
- Compact operator; Hyperinvariant subspace; Invariant subspace
- Publisher
- Kyungpook National University
- Indexed
- SCOPUS; KCI
- Document Type
- Article
- Abstract
- In a previous paper, the authors of this paper studied 2×2 matrices in upper triangular form, whose entries are operators on Hilbert spaces, and in which the the (1; 1) entry has a nontrivial hyperinvariant subspace. We were able to show, in certain cases, that the 2×2 matrix itself has a nontrivial hyperinvariant subspace. This generalized two earlier nice theorems of H. J. Kim from 2011 and 2012, and made some progress toward a solution of a problem that has been open for 45 years. In this paper we continue our investigation of such 2 × 2 operator matrices, and we improve our earlier results, perhaps bringing us closer to the resolution of the long-standing open problem, as mentioned above. © Kyungpook Mathematical Journal.
- DOI
- 10.5666/KMJ.2019.59.2.225
- Appears in Collections:
- 자연과학대학 > 수학전공 > Journal papers
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