## S. Cobza\c s

*Antiproximinal sets in the Banach space $ c(X)$ *

Comment.Math.Univ.Carolinae 38,2 (1997) 247-253. **Abstract:**If $X$ is a Banach space then the Banach space $c(X)$ of all $X$-valued convergent sequences contains a nonvoid bounded closed convex body $V$ such that no point in $C(X)\setminus V$ has a nearest point in $V$.

**Keywords:** antiproximinal sets, best approximation

**AMS Subject Classification:** 41A65

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