Geodesic
On antiproximinal sets in Grothendieck spaces
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 90-103

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Under some constraints on a Grothendieck space, we prove that this space contains a closed convex bounded antiproximinal set for some Lindenstrauss spaces. A fact that was proved earlier by the author for a classical space $C(Q)$ is now proved for some Lindenstrauss spaces.
Mots-clés : antiproximinal set
Keywords: Grothendieck spaces. 
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     author = {V. S. Balaganskii},
     title = {On antiproximinal sets in {Grothendieck} spaces},
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     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/TIMM_2012_18_4_a7/}
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V. S. Balaganskii. On antiproximinal sets in Grothendieck spaces. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 90-103. http://geodesic.mathdoc.fr/item/TIMM_2012_18_4_a7/