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

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

Author : Jean-Charles PINOLI

Publication date: November 10, 2020 | Lire en français

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7. Convexity in ...

Above: Convexity in $ℝ_{2}^{n}$ : theorems

7.1 Bunt and Motzkin theorem

Bunt and Motzkin's theorem characterizes the convexity of a closed non-empty subset X of the Euclidean space $ℝ_{2}^{n}$ by the existence of a unique orthogonal projection onto X for each point of $ℝ_{2}^{n}$ ...

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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, -...

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

7. Convexity in ...

7.1 Bunt and Motzkin theorem

Bibliography

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