Solarity of  piecewise approximatively compact Chebyshev sets

Igor' G. Tsar'kov

Solarity of piecewise approximatively compact Chebyshev sets

Igor' G. Tsar'kov

Scopus Author ID: 6602443197

Researcher ID: 7947

1. Moscow Lomonosov State University, Moscow, Russia

tsar@mech.math.msu.su,igtsarkov@yandex.ru

The material was received by the Editorial Board: 13.08.2025

Approximation by piecewise approximatively compact Chebyshev sets in normed linear spaces is studied. It is shown that any such set in locally uniformly convex Banach space is a sun and has connected intersections with closed balls.

УДК 517.982.256

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Keywords: locally uniformly convex Banach space, piecewise approximatively compact Chebyshev set, sun.

References: Igor' G. Tsar'kov Solarity of piecewise approximatively compact Chebyshev sets. Mat. Trudy. 2025, 28, №4. P. 174–186. DOI: 10.25205/1560-750X-2025-28-4-174-186