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Matematicheskie Zametki, 1997, Volume 62, Issue 2, Pages 178–191
DOI: https://doi.org/10.4213/mzm1603
(Mi mzm1603)
 

This article is cited in 2 scientific papers (total in 2 papers)

Finite-codimensional Chebyshev subspaces in the complex space C(Q)

L. P. Vlasov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (239 kB) Citations (2)
References:
Abstract: We consider finite-codimensional Chebyshev subspaces in the complex space C(Q), where Q is a compact Hausdorff space, and prove analogs of some theorems established earlier for the real case by Garkavi and Brown (in particular, we characterize such subspaces). It is shown that if the real space C(Q) contains finite-codimensional Chebyshev subspaces, then the same is true of the complex space C(Q) (with the same Q).
Received: 09.08.1995
English version:
Mathematical Notes, 1997, Volume 62, Issue 2, Pages 148–159
DOI: https://doi.org/10.1007/BF02355903
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: L. P. Vlasov, “Finite-codimensional Chebyshev subspaces in the complex space C(Q)”, Mat. Zametki, 62:2 (1997), 178–191; Math. Notes, 62:2 (1997), 148–159
Citation in format AMSBIB
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\by L.~P.~Vlasov
\paper Finite-codimensional Chebyshev subspaces in the complex space $C(Q)$
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\yr 1997
\vol 62
\issue 2
\pages 178--191
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\crossref{https://doi.org/10.4213/mzm1603}
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\zmath{https://zbmath.org/?q=an:0936.41019}
\elib{https://elibrary.ru/item.asp?id=13270134}
\transl
\jour Math. Notes
\yr 1997
\vol 62
\issue 2
\pages 148--159
\crossref{https://doi.org/10.1007/BF02355903}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000071268600022}
Linking options:
  • https://www.mathnet.ru/eng/mzm1603
  • https://doi.org/10.4213/mzm1603
  • https://www.mathnet.ru/eng/mzm/v62/i2/p178
  • This publication is cited in the following 2 articles:
    1. Vlasov, LP, “On existence theorems for finite-codimensional subspaces in C(Q)”, Journal of Approximation Theory, 117:1 (2002), 185  crossref  mathscinet  zmath  isi  scopus  scopus
    2. L. P. Vlasov, “Alexandroff's Double Arrow Compact Space and Approximation Theory”, Math. Notes, 69:6 (2001), 749–755  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:431
    Full-text PDF :206
    References:66
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