FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2007, VOLUME 13, NUMBER 4, PAGES 113-120

A note on immanant preservers

B. Kuzma

Abstract

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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 dc (F(A) + lF(B)) = dc' (A + lB). We show that this property alone implies that F is linear and bijective.

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