Year: 2025
Type: article
Abstract: A set is an out-Chebyshev set if any point lying at a positive distance from this set has a unique best approximant in this set. We extend the classical Berdyshev– Brøndsted–Brown theorem on convexity of Chebyshev sets in spaces of dimension 4 to the case of out-Chebyshev sets.
Source: Baku Mathematical Journal
Authors: Alexey R. Alimov, Niyazi A. Ilyasov
Institution: Lomonosov Moscow State University
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Awards: G6444257319, G6836815800
OpenAlex ID: W4414535613
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