The fixed point property in $lowercase{c_0}$

Canadian mathematical bulletin

关键词: singular integral;    rough kernel;    Hardy space;   

DOI  :  10.4153/CMB-1998-055-2

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

A closed convex subset of $c_0$ has the fixed point property($fpp$) if every nonexpansive self mapping of it has a fixedpoint. All nonempty weak compact convex subsets of $c_0$ areknown to have the $fpp$. We show that closed convex subsetswith a nonempty interior and nonempty convex subsets which arecompact in a topology slightly coarser than the weak topologymay fail to have the $fpp$.

【 授权许可】

Unknown