论文标题
加权构图操作员的光谱。第七部分。 $ c(k)$的加权成分的下半粉红色和弗雷德·霍尔姆(Fredholm)
Spectrum of weighted composition operators. Part VIII. Lower semi-Fredholm and Fredholm spectra of weighted compositions on $C(K)$, case of non-invertible surjections
论文作者
论文摘要
我们表征了$ c(k)$上的下半粉红色和弗雷德·弗雷姆(Fredholm),当相应地图是对紧凑型space $ k $的公开陈述时,我们都表征了$ c(k)$。所获得的标准涉及几乎紧凑空间的同态同态的概念。
We characterize lower semi-Fredholm and Fredholm of weighted composition operators on $C(K)$ in the case when the corresponding map is an open surjection of the compact space $K$ onto itself. The obtained criterions involve the notion of almost homeomorphisms of compact spaces.