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Fundamentalnaya i Prikladnaya Matematika, 2004, Volume 10, Issue 4, Pages 3–14 (Mi fpm781)  
This article is cited in 1 scientific paper (total in 1 paper)

Rank permutability and additive operators preserving related rank product conditions

A. A. Alieva, A. È. Guterman

M. V. Lomonosov Moscow State University
Full-text PDF (149 kB) Citations (1)
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Abstract: We characterize bijective additive operators preserving rank product conditions of a certain type. We also show that if an additive operator preserves the corresponding condition strongly, then it is automatically nonsingular.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 140, Issue 2, Pages 177–185
DOI: https://doi.org/10.1007/s10958-007-0414-9
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: A. A. Alieva, A. È. Guterman, “Rank permutability and additive operators preserving related rank product conditions”, Fundam. Prikl. Mat., 10:4 (2004), 3–14; J. Math. Sci., 140:2 (2007), 177–185
Citation in format AMSBIB
\Bibitem{AliGut04}
\by A.~A.~Alieva, A.~\`E.~Guterman
\paper Rank permutability and additive operators preserving related rank product conditions
\jour Fundam. Prikl. Mat.
\yr 2004
\vol 10
\issue 4
\pages 3--14
\mathnet{http://mi.mathnet.ru/fpm781}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2142504}
\zmath{https://zbmath.org/?q=an:1073.15003}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 140
\issue 2
\pages 177--185
\crossref{https://doi.org/10.1007/s10958-007-0414-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33845733675}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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