Weighted shifts and commuting normal extension

Journal of the Australian Mathematical Society

Arthur Lubin¹ 

关键词: 47 B 20;    47 A 20;   

DOI  :  10.1017/S1446788700016608

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

The main result of this paper shows that the existence of commuting normal extension (c.n.e.) for an arbitrary family of commuting subnormal operators can be determined by considering appropriate families of multivariable weighted shifts. In proving this some known criteria for c.n.e. are generalized. It is also shown that a family of jointly quasi-normal operators has c.n.e.

【 授权许可】

Unknown