Abstract In this paper, we give a similarity classification for the multiplication operator Mg on the Sobolev disk algebra R（D） with g analytic on the closure of the unit disk D.
In this note, we study a rich operator class denoted by PB_n(Ω) which includes all homogeneous operators and quasi-homogeneous operators in the Cowen–Douglas class. A complete unitarily classification theorem is giv...In this note, we study a rich operator class denoted by PB_n(Ω) which includes all homogeneous operators and quasi-homogeneous operators in the Cowen–Douglas class. A complete unitarily classification theorem is given. Furthermore, we also concern the curvature and similarity of operators in PB_n(Ω).展开更多
基金Supported by National Natural Science Foundation of China(Grant No.10901046)Foundation for the Author of National Excellent Doctoral Dissertation of China(Grant No.201116)
文摘Abstract In this paper, we give a similarity classification for the multiplication operator Mg on the Sobolev disk algebra R（D） with g analytic on the closure of the unit disk D.
基金Supported by National Natural Science Foundation of China(Grant Nos.11831006 and 11922108)
文摘In this note, we study a rich operator class denoted by PB_n(Ω) which includes all homogeneous operators and quasi-homogeneous operators in the Cowen–Douglas class. A complete unitarily classification theorem is given. Furthermore, we also concern the curvature and similarity of operators in PB_n(Ω).
