摘要
对于可析π_k空间上交换J-von Neumann代数谱空间的极不连通性进行了讨论,得到了可析π_k空间上交换J-von Neumann代数谱空间极不连通的充要条件,并给出判断谱空间中的开集的闭包是否仍为开集的充要条件.
This paper discusses whether the spectral space of commuting J-von Neumann algebra on Pontryagian spaceπ_k is extremely disconnected space.And giving the necessary and sufficent condition that the spectral space of commuting J-von Neumann algebra on Pontryagian spaceπ_k is extremely disconnected space,meanwhile the necessary and sufficent condition is got whether the closer of open set is open set,where the closer of open set contains the degenerate eigenfunctional.
出处
《数学年刊（A辑）》
CSCD
北大核心
2008年第3期393-398,共6页
Chinese Annals of Mathematics
基金
国家自然科学基金(No．10771161)资助的项目
