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Fundamentalnaya i Prikladnaya Matematika, 2007, Volume 13, Issue 4, Pages 113–120
(Mi fpm1067)
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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
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.
Citation:
B. Kuzma, “A note on immanant preservers”, Fundam. Prikl. Mat., 13:4 (2007), 113–120; J. Math. Sci., 155:6 (2008), 872–876
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https://www.mathnet.ru/eng/fpm1067 https://www.mathnet.ru/eng/fpm/v13/i4/p113
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Abstract page: | 314 | Full-text PDF : | 118 | References: | 43 |
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