Definition:Star Convex Set/Star Center
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Definition
Let $V$ be a vector space over $\R$ or $\C$.
Let $A \subseteq V$ be a star convex set:
- $\exists a \in A: \forall x \in A: \forall t \in \closedint 0 1: t x + \paren {1 - t} a \in A$
The point $a \in A$ is called a star center of $A$.
Sources
- 2001: Christian Berg: Kompleks funktionsteori: $\S 3.1$