n-Antiproximinal sets / B. B. Bednov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 3. P. 29-34 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 130-135].

The notion of n-antiproximinal set in a Banach space is defined. The existence of convex closed n-antiproximinal sets in the spaces C and L_1 is studied.

Key words: antiproximinal set, Banach space.

№ 3/2015