FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

A note on immanant preservers

B. Kuzma

Abstract

View as HTML     View as gif image

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

Location: http://mech.math.msu.su/~fpm/eng/k07/k074/k07406h.htm
Last modified: November 28, 2007