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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016 Number 5, Pages 49–52 (Mi vmumm181)
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Example of an antiproximinal, but not a 2-antiproximinal convex closed bounded body

B. B. Bednovab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Bauman Moscow State Technical University

Abstract: An example of an antiproximinal but not 2-antiproximinal convex closed bounded body is constructed in the space $\bf{c}_0$ endowed with Day's norm.

Key words: antiproximinal body, Day's norm.

UDC: 517.982.256

Received: 11.01.2016


 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2016, 71:5, 208–211

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© Steklov Math. Inst. of RAS, 2026