TY - JOUR
AU - 고응일
AU - Carl M. Pearcy
DA - 2019
UR - http://dspace.ewha.ac.kr/handle/2015.oak/248118
AB - 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.
LA - English
PB - POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN
KW - invariant subspace
KW - hyperinvariant subsace
KW - quasinilpotent operator
KW - centered operator
KW - weakly centered operator
TI - Hyperinvariant subspaces for a class of quasinilpotent operators
IS - 3
VL - 245
DO - 10.4064/sm171209-18-1
ER -