Taylor联合谱与联合数值域  

Taylor's Joint Spectra and Joint Numerical Ranges

作　　者：曹广福[1] 

机构地区：[1]吉林大学数学系

出　　处：《吉林大学自然科学学报》1989年第2期39-44,共6页Acta Scientiarum Naturalium Universitatis Jilinensis

摘　　要：本文讨论了Hilbert空间-H上的交换算子组T=(T_1…T_n)的Taylor联合谱的边界与联合近似点谱,以及Taylor联合谱与联合数值域的关系。Let H denote a Hilbert space, T=(T_1…T_n) be a n-tuple of commuting operators on H, S_(p_π)(T,H) be the joint approximate point spectrum,S_p(T,H) denote the Taylor's joint spectrum, W(T) denote the joint numerical range. In this paper, we discuss the relations between S_(p_π)(T,H) and S_p(T,H), and between S_p(T,H) and W(T).

关 键 词：Taylor联合谱 联合数值域 点谱 

分 类 号：O177.1[理学—数学]