关于算子紧空间

On operator compact spaces

在算子开集理论中提出了算子紧空间、算子可数紧空间、算子Lindelof空间的概念,同时指出算子紧空间是紧空间、s-紧和强紧等空间的推广,并对这类空间所具有的性质进行了一些有益的讨论。

In this paper, the definitions were given of operator compact space, operator countably compact space and operator Lindelof space in operator open set theory. At the same time, the paper pointed out that operator compact space concept was a kind of extention of compact space, s-compact space and strongly compact space etc. , and disscussed features of these spaces.