Geodesic
The existence of discontinuous metric projections
Matematičeskie zametki, Tome 16 (1974) no. 6, pp. 857-864 Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate the possibility of an equivalent renorming of a separable Banach space so that the corresponding metric projection onto a subspace is not continuous. 
@article{MZM_1974_16_6_a0,
     author = {V. I. Andreev},
     title = {The existence of discontinuous metric projections},
     journal = {Matemati\v{c}eskie zametki},
     pages = {857--864},
     year = {1974},
     volume = {16},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_6_a0/}
}
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V. I. Andreev. The existence of discontinuous metric projections. Matematičeskie zametki, Tome 16 (1974) no. 6, pp. 857-864. http://geodesic.mathdoc.fr/item/MZM_1974_16_6_a0/