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Keywords:
antiproximinal sets; best approximation
antiproximinal sets; best approximation
Summary:
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 $V$.
References:
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