This article is cited in 6 papers

Convex antiproximal sets in spaces $c_0$ and $c$

S. Kobzash


Abstract: In the note we prove that in a Banach space c there exists a closed bounded symmetric convex division ring $V_1$ such that for any $x\in c\setminus V_1$, $P_{V_1}(x)=\emptyset$ where $P_{V_1}$ is the metric projection onto $V_1$.

UDC: 513.88

Received: 25.12.1973

 English version: Mathematical Notes, 1975, 17:3, 263–268

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