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math.FA2016
On the Krein-Milman-Ky Fan theorem for convex compact metrizable sets
Mohammed Bachir
The Krein-Milman theorem (1940) states that every convex compact subset of a Hausdorfflocally convex topological space, is the closed convex hull of its extreme points. In 1963, Ky…
math.FA2016
Limited operators and differentiability
Mohammed Bachir
We characterize the limited operators by differentiability of convex continuous functions. Given Banach spaces and and a linear continuous operator …