Geodesic
Examples of Sets with Given Approximation Properties in $WCG$-Space
Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 643-647

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An example of a nontrivial convex bounded Chebyshev set is constructed in an arbitrary weakly compactly generated Banach space ($WCG$-space). An example of bounded approximately compact but not locally compact set is constructed in an arbitrary infinite-dimensional $WCG$-space.
Keywords: approximative compactness, weakly compactly generated Banach space, locally compact set, Chebyshev set. 
@article{MZM_2013_94_5_a0,
     author = {P. A. Borodin},
     title = {Examples of {Sets} with {Given} {Approximation} {Properties} in $WCG${-Space}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {643--647},
     publisher = {mathdoc},
     volume = {94},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a0/}
}
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P. A. Borodin. Examples of Sets with Given Approximation Properties in $WCG$-Space. Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 643-647. http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a0/