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A remark on weakly convex continuous mappings in topological linear spaces

2009

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.

Connected spaceHausdorff spaceWeakly convex continuous mappingTopological linear space weakly convex continuous mapping convexly totally bounded set weak Zima type set.TopologyChoquet theoryTopological linear spaceTopological vector spaceBounded operatorContinuous linear operatorWeak Zima type setLocally convex topological vector spaceConvexly totally bounded setGeometry and TopologyReflexive spaceMathematicsTopology and its Applications
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