Convex Geometry I. Definitions, Properties and Fundamental Theorems : Convexity in topological vector spaces

Convexity in topological vector spaces
Convex Geometry I. Definitions, Properties and Fundamental Theorems

Author : Jean-Charles PINOLI

Publication date: November 10, 2020 | Lire en français

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4. Convexity in 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 topological vector spaces

(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 Society, Vol. 144, pp....

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