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math.FA2011
A "hidden" characterization of approximatively polyhedral convex sets in Banach spaces
Taras Banakh, Ivan Hetman
For a Banach space by we denote the space of non-empty closed convex subsets of , endowed with the Hausdorff metric. We prove that for any closed convex set $C\s…
math.FA2011
A "hidden" characterization of polyhedral convex sets
Taras Banakh, Ivan Hetman
We prove that a closed convex subset of a complete linear metric space is polyhedral in its closed linear hull if and only if no infinite subset ca…