A remark on weakly convex continuous mappings in topological linear spaces
- Autori: Caponetti, D; Trombetta, A
- Anno di pubblicazione: 2009
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Topological linear space, weakly convex continuous mapping, convexly totally bounded set, weak Zima type set.
- OA Link: http://hdl.handle.net/10447/40012
Abstract
Let C be a compact convex subset of a Hausdorff topological linear space and T:C→C a continuous mapping. We characterize those mappings T for which T(C) is convexly totally bounded.