论文标题
矢量值功能的SAKS空间上的混合拓扑
Mixed topologies on Saks spaces of vector-valued functions
论文作者
论文摘要
我们研究了在规范空间和相关的混合拓扑中具有值的功能空间。我们对此类SAKS空间和混合拓扑的特性感兴趣，这些质量与双连续分组理论中的应用相关。特别是，我们感兴趣的是，对于混合拓扑而言，此类SAKS空间是完整的，半蒙蒙特，C-序列或（强）Mackey空间。此外，我们考虑了一个问题，混合拓扑是否重合在此类SAKS空间上，并寻求产生混合拓扑结构的明确系统。
We study Saks spaces of functions with values in a normed space and the associated mixed topologies. We are interested in properties of such Saks spaces and mixed topologies which are relevant for applications in the theory of bi-continuous semigroups. In particular, we are interested if such Saks spaces are complete, semi-Montel, C-sequential or a (strong) Mackey space with respect to the mixed topology. Further, we consider the question whether the mixed and the submixed topology coincide on such Saks spaces and seek for explicit systems of seminorms that generate the mixed topology.
