Definition 11.1.3 (Convex Circled Hull).label Let $E$ be a vector space over $K \in \RC$ and $A \subset E$, then the set

\[\aconv(A) = \bracs{\sum_{j = 1}^n t_j x_j \bigg | \seqf{t_j} \subset K, \seqf{x_j} \subset E, \sum_{j = 1}^n |t_j| \le 1 }\]

is the convex circled hull of $A$.

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