Invariant subspaces in the bidisc and commutators

Journal of the Australian Mathematical Society

Takahiko Nakazi¹ 

关键词: 47 A 15;    47 B 47;    47 B 20;    46 J 15;    32 A 35;   

DOI  :  10.1017/S1446788700034856

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let M be an invariant subspace of L2 (T2) on the bidisc. V1 and V2 denote the multiplication operators on M by coordinate functions z and ω, respectively. In this paper we study the relation between M and the commutator of V1 and , For example, M is studied when the commutator is self-adjoint or of finite rank.

【 授权许可】

Unknown