Best approximation in spaces of bounded vector-valued sequences
Amir, D. and Deutsch, F., Approximation by certain subspaces in the Banach space of continuous vector valued function, J.Approx. Theory, 27 (1979), pp. 254-270.
Buck, R.C., Approximation properties of vector valued functions, Pacific. J. Math., 53 (1974), pp. 85-94, https://doi.org/10.2140/pjm.1974.53.85
Chiacchio, A.O., Best approximation by elements of vector subspaces of Cb(X,E), Preprint No.312, Univ. Estadual de Campinas-Sao Paulo, Brasil (1985), 8 pp.
-, Chebyshev centers in space of vector-valued continunous functions, Ibid. Preprint No.313 (1985), 12 pp.
Cobzaş, S., Antiproximinal sets in some Banach spaces, Mathematica Balkanica 4 (1974), pp. 79-82.
-, Convex antiproximinal sets in the spaces c₀ and c, Mat. Zametki (Moscow) 17 (1975), pp. 449-457 (in Russian).
Cobzaş, S., Antiproximinal sets in Banach spaces of c₀-type, Revue d'Analyse Numérique et de Théorie de l'Aproximation, 7 (1976), pp. 141-145.
Edelstein, M. and Thompson, A.C., Some results on nearest points and support properties of convex sets in c₀, Pacific. J. Math., 40 (1972), pp. 553-560, https://doi.org/10.2140/pjm.1972.40.553
Garkavi, A.L., On the existence of the best net in a Banach space, Uspekhi Mat. Nauk. 15 (1960), pp. 210-211.
-, On the best net and the best cross-secant of a set in a normed space, Izvestija Akad. Naud SSSR, Ser. Matem. 26 (1964), pp. 87-100.
-, On the relative Chebyshev center of a compact set of continuous functions, Mat. Zametki (Moscow), 4 (1973), pp. 469-478.
Lau, K.S., Approximation by continuous vector valued functions, Studia Math., 68 (1980), pp. 291-298.
Olech, C., Approximation of set-valued functions by continuous functions, Colloq. Math., 19 (1968), pp. 285-293, https://doi.org/10.4064/cm-19-2-285-293
Roversi Marconi, M.S., Best approximation of bounded functions by continuous functions, J. Approx. Theory, 41 (1984), pp. 135-148, https://doi.org/10.1016/0021-9045(84)90107-2
Singer, I., Best approximation in normed linear spaces by elements of linear subspaces, Editura Academiei and Springer-Verlag, Bucharest and Berlin-Heidelberg-New Yord, 1970.
-, The theory of best approximation and functional analysis, CEMS, Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, Pensylvania, USA, 1974, pp. 95, https://doi.org/10.1137/1.9781611970548.ch1
Whitley, R., Projeciton m onto c₀, Amer. Math. Monthly, 73 (1966), pp. 285-286,https://doi.org/10.2307/2315346
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