Exploration and discussion of several question on hilbert space in relation to weak topology 空间中与弱拓扑有关的几个问题的探讨
2.
We prove that the strong and weak topological contractions for automorphisms of connected lie groups are equivalent . we also get that the connected lie group which admits a topological contractive automorphism must be a nilpotent lie group 证明了连通李群自同构的强拓扑压缩性质与弱拓扑压缩性质等价；存在拓扑压缩自同构的连通李群是幂零的。
