References
C. Franchetti andL. Veselý, Renorming, proximinal subspaees and quotients in Banach spaces. J. Math. Anal. Appl.173, 411–418 (1993).
R. B.Holmes, A Course on Optimization and Best Approximation. LNM257, Berlin-Heidelberg-New York 1972.
R. B.Holmes, Geometric Functional Analysis and its Applications. Berlin-Heidelberg-New York 1975.
S. Mercourakis, On weakly countably determined Banach spaces. Trans. Amer. Math. Soc.300, 307–326 (1987).
S. L. Troyanski, On a property of the norm which is close to local uniform rotundity. Math. Ann.271, 305–313 (1985).
M. Valdivia, Some properties of weakly countably determined Banach spaces. Studia Math.93, 137–144 (1989).
L. Vašák, On one generalization of weakly compactly generated Banach spaces. Studia Math.70, 11–19 (1981).
L. Veselý, Metric projections after renorming. J. Approx. Theory66, 72–82 (1991).
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Veselý, L. Renorming a Banach space to make a given subspace Chebyshev. Arch. Math 62, 254–260 (1994). https://doi.org/10.1007/BF01261366
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DOI: https://doi.org/10.1007/BF01261366