论文标题
Pontryagin-Krein定理:Lomonosov的证明和相关结果
Pontryagin-Krein Theorem: Lomonosov's proof and related results
论文作者
论文摘要
我们讨论了Lomonosov在不变的最大非阳性子空间中的蓬蒂拉金 - 肯 - 肯 - 肯 - 肯 - 肯 - 肯 - krein定理,证明了一个从\ cite {osht}的一个定理对操作器球的分数线性地图的共同固定点上的完善,并推论了其后果。还考虑了一些Burnside类型的Pontryagin-Krein定理。
We discuss Lomonosov's proof of the Pontryagin-Krein Theorem on invariant maximal non-positive subspaces, prove the refinement of one theorem from \cite{OShT} on common fixed points for a group of fractional-linear maps of operator ball and deduce its consequences. Some Burnside-type counterparts of the Pontryagin-Krein Theorem are also considered.