Hyperinvariant subspaces for some 2 × 2 operator matrices, II
- 주제(키워드) Compact operator , Hyperinvariant subspace , Invariant subspace
- 관리정보기술 faculty
- 등재 SCOPUS, KCI등재
- 발행기관 Kyungpook National University
- 발행년도 2019
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000172143
- 본문언어 영어
- Published As https://dx.doi.org/10.5666/KMJ.2019.59.2.225
초록/요약
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.
more