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Matematicheskie Zametki, 2021, Volume 110, Issue 5, Pages 773–785
DOI: https://doi.org/10.4213/mzm13207 (Mi mzm13207) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Uniform Convexity in Nonsymmetric Spaces

I. G. Tsar'kov

Moscow Center for Fundamental and Applied Mathematics
Full-text PDF (452 kB) Citations (15)
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DOI: https://doi.org/10.4213/mzm13207
Abstract: Uniformly convex asymmetric spaces are defined. It is proved that every nonempty closed convex set in a uniformly convex complete asymmetric space is a set of approximative uniqueness (and, in particular, a Chebyshev set).
Keywords: asymmetric spaces, approximative uniqueness, uniform convexity.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00332-a
This work was supported by the Russian Foundation for Basic Research under grant 19-01-00332-a.
Received: 03.07.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 5, Pages 773–783
DOI: https://doi.org/10.1134/S0001434621110146
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: I. G. Tsar'kov, “Uniform Convexity in Nonsymmetric Spaces”, Mat. Zametki, 110:5 (2021), 773–785; Math. Notes, 110:5 (2021), 773–783
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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