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Matematicheskie Zametki, 1968, Volume 4, Issue 1, Pages 41–44 (Mi mzm6741)  

This article is cited in 2 scientific papers (total in 3 papers)

Projectors in certain Banach lattices

G. Ya. Lozanovskii
Full-text PDF (348 kB) Citations (3)
Abstract: A generalization is given of the familiar result of Philips on the nonexistence of a projector from $m$ onto $c_0$. The results obtained imply, for example, the following consequence. Ifthe Orlicz space $L_M^*\ne E_M$, there is no projector from $L_M^*$ onto $E_m$ and $E_m$ is not isomorphic to any conjugate Banach space.
Received: 21.11.1967
English version:
Mathematical Notes, 1968, Volume 4, Issue 1, Pages 514–516
DOI: https://doi.org/10.1007/BF01429812
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: G. Ya. Lozanovskii, “Projectors in certain Banach lattices”, Mat. Zametki, 4:1 (1968), 41–44; Math. Notes, 4:1 (1968), 514–516
Citation in format AMSBIB
\Bibitem{Loz68}
\by G.~Ya.~Lozanovskii
\paper Projectors in certain Banach lattices
\jour Mat. Zametki
\yr 1968
\vol 4
\issue 1
\pages 41--44
\mathnet{http://mi.mathnet.ru/mzm6741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=235402}
\zmath{https://zbmath.org/?q=an:0181.39801|0177.16402}
\transl
\jour Math. Notes
\yr 1968
\vol 4
\issue 1
\pages 514--516
\crossref{https://doi.org/10.1007/BF01429812}
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  • https://www.mathnet.ru/eng/mzm/v4/i1/p41
  • This publication is cited in the following 3 articles:
    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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    Full-text PDF :118
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