고응일
Carl M. Pearcy
2019-01-02T16:30:24Z
2019-01-02T16:30:24Z
2019
0039-3223
1730-6337
OAK-23968
http://dspace.ewha.ac.kr/handle/2015.oak/248118
Quasinilpotent operators on Hilbert space are very little understood. Except for the classification, up to similarity, as parts of quasinilpotent backward weighted shifts of infinite multiplicity (Foias and Pearcy, 1974), and the recently introduced technique of extremal vectors (see the references), there are few known structure theorems or theorems proving the existence of invariant or hyperinvariant subspaces for such operators. In this paper we use a structure theorem for the class of weakly centered operators (Paulsen et al., 1995) to obtain a structure theorem for a certain subclass of quasinilpotent operators that immediately yields the existence of hyperinvariant subspaces for such operators.
English
POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
invariant subspace
hyperinvariant subsace
quasinilpotent operator
centered operator
weakly centered operator
Hyperinvariant subspaces for a class of quasinilpotent operators
Article
3
245
SCIE
SCOPUS
289
296
STUDIA MATHEMATICA
10.4064/sm171209-18-1
WOS:000447651200005
Jung, Il Bong
Ko, Eungil
Pearcy, Carl
고응일(7005763297)
20190123160753