关于Hilbert空间的算子空间中几种拓扑的注记

A Note on Several Topologies in Operator Spaces of Hilbert Space

讨论了Hilbert空间上全体有界线性算子所成的算子空间上一致拓扑,弱算子拓扑,强算子拓扑之间的关系,以及一些运算在这些拓扑下的连续性.

In this paper, the relations between the uniform topology, weak operator topology and strong operator topology in operator space of Hilbert space and the continuity of several operations are discussed.