Publications
Detailed Information
(The) hyperinvariant subspace problem for quasinilpotent operators : 준멱영 작용소의 초불변부분공간문제
DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | 이우영 | - |
dc.contributor.author | 김형준 | - |
dc.date.accessioned | 2008-08 | - |
dc.date.available | 2008-08-01 | - |
dc.date.copyright | 2008 | - |
dc.date.issued | 2008-08 | - |
dc.identifier.other | 000000041411 | - |
dc.identifier.uri | http://dcollection.snu.ac.kr:80/jsp/common/DcLoOrgPer.jsp?sItemId=000000041411 | - |
dc.description | Thesis(doctors)--서울대학교 대학원 :수리과학부,2008.8. | - |
dc.description.abstract | This dissertation concerns the yperinvariant subspace problem for quasinilpotent operators: Does every quasinilpotent operator on a complex infinite-dimensional separable Hilbert space have a nontrivial hyperinvariant subspace\,? We consider this problem by using the extremal vector technique and the model theory of quasinilpotent operators. Firstly, we focus on quasinilpotent operators in the class $(\mathcal{CRQ})$ with some constraints and then get partial solutions to the hyperinvariant subspace problem for quasinilpotent operators. Secondly, we introduce the notion of `stability' for extremal vectors and then prove that quasinilpotent operators with some stability conditions have nontrivial hyperinvariant subspaces. Finally, we also introduce the notion of `$c$-eigenvectors' and put it into the model theory of quasinilpotent operators to make improvements of the known results on the hyperinvariant subspace problem. | - |
dc.format.extent | ii, 72 leaves. | - |
dc.language.iso | en | - |
dc.publisher | 서울대학교 대학원 | - |
dc.subject | 초불변부분공간 | - |
dc.subject | Hyperinvariant subspaces | - |
dc.subject | 극벡터 | - |
dc.subject | extremal vectors | - |
dc.subject | 준멱영 작용소 | - |
dc.subject | quasinilpotent operators | - |
dc.title | (The) hyperinvariant subspace problem for quasinilpotent operators | - |
dc.title.alternative | 준멱영 작용소의 초불변부분공간문제 | - |
dc.type | Thesis | - |
dc.contributor.AlternativeAuthor | Kim, Hyoungjoon | - |
dc.contributor.department | 수리과학부 | - |
dc.description.degree | Thesis(doctors) -- | - |
- Appears in Collections:
- Files in This Item:
- There are no files associated with this item.
Item View & Download Count
Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.