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Matematicheskie Zametki, 1969, Volume 6, Issue 4, Pages 361–369 (Mi mzm6942)  
This article is cited in 1 scientific paper (total in 1 paper)

Necessary and sufficient conditions for the linearity of transformations which preserve cones

R. I. Pimenov

Leningrad Department of V. A. Steklov Institute of Mathematics, USSR Academy of Sciences
Full-text PDF (733 kB) Citations (1)
Abstract: We find a criterion for the linearity of mappings, preserving equal and parallel cones, in one of the exceptional cases to which the theorem of A. D. Aleksandrov does not extend.
Received: 07.05.1968
English version:
Mathematical Notes, 1969, Volume 6, Issue 4, Pages 675–679
DOI: https://doi.org/10.1007/BF01093800
Bibliographic databases:
UDC: 513.78
Language: Russian
Citation: R. I. Pimenov, “Necessary and sufficient conditions for the linearity of transformations which preserve cones”, Mat. Zametki, 6:4 (1969), 361–369; Math. Notes, 6:4 (1969), 675–679
Citation in format AMSBIB
\Bibitem{Pim69}
\by R.~I.~Pimenov
\paper Necessary and sufficient conditions for the linearity of transformations which preserve cones
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 4
\pages 361--369
\mathnet{http://mi.mathnet.ru/mzm6942}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=251622}
\zmath{https://zbmath.org/?q=an:0189.52902|0186.55702}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 4
\pages 675--679
\crossref{https://doi.org/10.1007/BF01093800}
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  • https://www.mathnet.ru/eng/mzm/v6/i4/p361
    • This publication is cited in the following 1 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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