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Matematicheskie Zametki, 1970, Volume 7, Issue 5, Pages 593–604
(Mi mzm9543)
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This article is cited in 7 scientific papers (total in 7 papers)
Approximate properties of sets in Banach spaces
L. P. Vlasov Sverdlovsk Branch, V. A. Steklov Mathematical Institute, Academy of Sciences of the USSR
Abstract:
Various generalizations of the notion of “sun” are considered and connections among them are established. A series of results from works of the author on Chebyshev sets are restated in new terms. It is proved that a Chebyshev set with a continuous metric projection is convex in a smooth reflexive space.
Received: 30.06.1969
Citation:
L. P. Vlasov, “Approximate properties of sets in Banach spaces”, Mat. Zametki, 7:5 (1970), 593–604; Math. Notes, 7:5 (1970), 358–364
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https://www.mathnet.ru/eng/mzm9543 https://www.mathnet.ru/eng/mzm/v7/i5/p593
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Abstract page: | 217 | Full-text PDF : | 92 | First page: | 1 |
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