5. Convexity in locally convex topological vector spaces

Let $(E, +, \times, T)$ be a topological real vector space (p. 2 of [AF 123] ). It will be considered separate in the Hausdorff sense (p. 14 of

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Convexity in locally convex topological vector spaces

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Bibliography

(1) - ANDERSON (R.D.), KLEE (V.) - Convex functions and upper-semicontinuous collections, - Duke Mathematical Journal, Vol. 19, pp. 349-357 (1952).
(2) - ASPLUND (E.) - Čebyšev sets in Hilbert space, - Transactions of the American Mathematical...

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