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// Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
// Archive
Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.,
2015
Number 3,
Pages
29–34
(Mi vmumm236)
This article is cited in
1
paper
Mathematics
The
$n$
-antiproximinal sets
B. B. Bednov
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
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.
UDC:
517.982.256
Received:
30.04.2014
Fulltext:
PDF file (331 kB)
References
Cited by
English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2015,
70
:3,
130–135
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2026
Fulltext:
PDF file (331 kB)