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DIANA CAPONETTI

A remark on weakly convex continuous mappings in topological linear spaces

  • Authors: Caponetti, D; Trombetta, A
  • Publication year: 2009
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: 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.