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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2019.1
- 수록면
- 225 - 231 (7page)
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In a previous paper, the authors of this paper studied 2x2 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 2x2 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 ourinvestigation of such 2x2 operator matrices, and we improve our earlier results, perhaps bringing us closer to the resolution of the long-standing open problem, as mentioned above.
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참고문헌 (10)
참고문헌 신청
I. Chalendar / 2011 / Modern approaches to the invariant-subspace problem / Cambridge Univ. Press
J. Conway / 1981 / Subnormal operators / Pitman Publ
R. Douglas / 1972 / Hyperinvariant subspaces and transitive algebras / Michigan Math. J 19:1~12
T. Hoover / 1971 / Hyperinvariant subspaces for n-normal operators / Acta Sci. Math. (Szeged) 32:109~119
정일봉 / 2018 / Hyperinvariant Subspaces for Some 2x2 Operator Matrices / Kyungpook Mathematical Journal 58(3):489~494
J. Conway / 1981 / Subnormal operators / Pitman Publ
R. Douglas / 1972 / Hyperinvariant subspaces and transitive algebras / Michigan Math. J 19:1~12
T. Hoover / 1971 / Hyperinvariant subspaces for n-normal operators / Acta Sci. Math. (Szeged) 32:109~119
정일봉 / 2018 / Hyperinvariant Subspaces for Some 2x2 Operator Matrices / Kyungpook Mathematical Journal 58(3):489~494
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