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Matematicheskie Zametki, 1976, Volume 20, Issue 4, Pages 521–527 (Mi mzm7872)  
This article is cited in 2 scientific papers (total in 2 papers)

The extreme points of the unit ball of certain spaces of operators

I. I. Tseitlin

Kirov State Pedagogical Institute
Full-text PDF (448 kB) Citations (2)
Abstract: In this note we discuss the set of extreme points of the unit ball of certain spaces of mappings. We prove that a mapping $T:E\to F'$ is an extreme point of the unit ball of the space $I(E,F')$ of integral mappings, if and only if it has the form $Tx=\langle x,a_0\rangle b_0$, where $a_0\in\operatorname{ext}S(E')$, $b_0\in\operatorname{ext}S(F')$
Received: 15.04.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 4, Pages 848–852
DOI: https://doi.org/10.1007/BF01098901
Bibliographic databases:
UDC: 513.8
Language: Russian
Citation: I. I. Tseitlin, “The extreme points of the unit ball of certain spaces of operators”, Mat. Zametki, 20:4 (1976), 521–527; Math. Notes, 20:4 (1976), 848–852
Citation in format AMSBIB
\Bibitem{Tse76}
\by I.~I.~Tseitlin
\paper The extreme points of the unit ball of certain spaces of operators
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 4
\pages 521--527
\mathnet{http://mi.mathnet.ru/mzm7872}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=440345}
\zmath{https://zbmath.org/?q=an:0346.47039}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 4
\pages 848--852
\crossref{https://doi.org/10.1007/BF01098901}
Linking options:
  • https://www.mathnet.ru/eng/mzm7872
  • https://www.mathnet.ru/eng/mzm/v20/i4/p521
    • This publication is cited in the following 2 articles:
    1. T. Rao, “Extending into isometries of 𝒦(𝒳,𝒴)”, Proc. Amer. Math. Soc., 134:7 (2006), 2079  crossref
    2. T. S. S. R. K. Rao, “Nice surjections on spaces of operators”, Proc. Indian Acad. Sci. (Math. Sci.), 116:4 (2006), 401  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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