Definition:Extreme Point of Convex Set/Definition 2
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Definition
Let $X$ be a vector space over $\R$.
Let $K$ be a convex subset of $X$.
We say that $a$ is an extreme point of $K$ if and only if:
- $K \setminus \set a$ is convex.
Sources
- 2011: Graham R. Allan and H. Garth Dales: Introduction to Banach Spaces and Algebras ... (previous) ... (next): $2.1$: Normed Spaces