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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 4, Pages 113–120 (Mi fpm1067)  

This article is cited in 8 scientific papers (total in 8 papers)

A note on immanant preservers

B. Kuzmaab

a Seaside University
b Institute of Mathematics, Physics and Mechanics
Full-text PDF (127 kB) Citations (8)
References:
Abstract: We study the maps that transform one immanant into another. No surjectivity or linearity is imposed; the rudiments of the former are weakly embedded into the functional equation via $d_\chi(\Phi(A)+\lambda\Phi(B))=d_{\chi'}(A+\lambda B)$. We show that this property alone implies that $\Phi$ is linear and bijective.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 155, Issue 6, Pages 872–876
DOI: https://doi.org/10.1007/s10958-008-9247-4
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: B. Kuzma, “A note on immanant preservers”, Fundam. Prikl. Mat., 13:4 (2007), 113–120; J. Math. Sci., 155:6 (2008), 872–876
Citation in format AMSBIB
\Bibitem{Kuz07}
\by B.~Kuzma
\paper A~note on immanant preservers
\jour Fundam. Prikl. Mat.
\yr 2007
\vol 13
\issue 4
\pages 113--120
\mathnet{http://mi.mathnet.ru/fpm1067}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2366239}
\zmath{https://zbmath.org/?q=an:1160.15301}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 155
\issue 6
\pages 872--876
\crossref{https://doi.org/10.1007/s10958-008-9247-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-57349161919}
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  • https://www.mathnet.ru/eng/fpm1067
  • https://www.mathnet.ru/eng/fpm/v13/i4/p113
  • 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
    Фундаментальная и прикладная математика
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    Abstract page:314
    Full-text PDF :118
    References:43
     
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