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.
Caponetti, D., Trombetta, A. (2009). A remark on weakly convex continuous mappings in topological linear spaces. TOPOLOGY AND ITS APPLICATIONS, 156(10), 1767-1769.
A remark on weakly convex continuous mappings in topological linear spaces
CAPONETTI, Diana;
2009-01-01
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.
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