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).
出处
《吉林大学自然科学学报》
CSCD
1989年第2期39-44,共6页
Acta Scientiarum Naturalium Universitatis Jilinensis
关键词
Taylor联合谱
联合数值域
点谱
Taylor′s joint spectrum, joint approximate point spectrum, joint numerical range.
