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Sibirskii Matematicheskii Zhurnal, 2005, Volume 46, Number 3, Pages 620–624 (Mi smj991)  
This article is cited in 7 scientific papers (total in 8 papers)

On Grothendieck subspaces

S. S. Kutateladze

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (165 kB) Citations (8)
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Abstract: The modulus of an order bounded functional on a Riesz space is the sum of a pair of Riesz homomorphisms if and only if the kernel of this functional is a Grothendieck subspace of the ambient Riesz space. An operator version of this fact is given.
Keywords: Riesz homomorphism, 2-disjoint operator, Grothendieck subspace, Boolean valued analysis.
Received: 21.02.2005
English version:
Siberian Mathematical Journal, 2005, Volume 46, Issue 3, Pages 489–493
DOI: https://doi.org/10.1007/s11202-005-0050-x
Bibliographic databases:
UDC: 517.11
Language: Russian
Citation: S. S. Kutateladze, “On Grothendieck subspaces”, Sibirsk. Mat. Zh., 46:3 (2005), 620–624; Siberian Math. J., 46:3 (2005), 489–493
Citation in format AMSBIB
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\paper On Grothendieck subspaces
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\vol 46
\issue 3
\pages 620--624
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2164564}
\transl
\jour Siberian Math. J.
\yr 2005
\vol 46
\issue 3
\pages 489--493
\crossref{https://doi.org/10.1007/s11202-005-0050-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000229958200011}
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  • https://www.mathnet.ru/eng/smj/v46/i3/p620
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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