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A remark on uniquely remotal sets in C(K,X). (English) Zbl 0424.46015


MSC:

46B20 Geometry and structure of normed linear spaces
46E40 Spaces of vector- and operator-valued functions
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
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References:

[1] E. Asplund, Sets with unique farthest points,Israel J. Math. 5 (1967), 201–209.MR 36 # 4319 · Zbl 0153.44204
[2] J. Blatter, Weiteste Punkte und nächste Punkte,Rev. Roumaine Math. Pures Appl. 14 (1969), 615–621.MR 40 # 4737 · Zbl 0205.12301
[3] V. L. Klee, Convexity of Chebyshev sets,Math. Ann. 142 (1961), 292–304.MR 22 # 12367 · Zbl 0091.27701
[4] T. D. Narang, A study of farthest points,Nieuw Arch. Wisk. 25 (1977), 54–79.MR 58 # 6866 · Zbl 0342.46009
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