Ob otobraženijah, sohranjajuščih immananty

Abstract

V članku študiramo preslikave, ki transformirajo eno imananto matričnih snopov v drugo. Vnaprej ne predpostavimo niti surjektivnosti, niti linearnosti preslikav. Predpostavimo zgolj šibko linearnost v obliki identitete ▫$d_\chi (\Phi(A) + \lambda \Phi(B)) = d_{\chi'}(A+\lambda B)$▫. Pokažemo, da zgolj ta identiteta implicira avtomatično linearnost in bijektivnost preslikave ▫$\Phi$▫.

Keywords

matematika;linearna algebra;teorija matrik;imanante;ohranjevalci;

Data

Year of publishing:	2007
Typology:	1.01 - Original Scientific Article
Organization:	UP - University of Primorska
UDC:	512.643
COBISS:	14661977
ISSN:	1560-5159
Views:	2633
Downloads:	89
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	ǂA ǂnote on immanant preservers
Secondary abstract:	We study the maps that transform one immanant into another. No surjectivity orlinearity 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.
Secondary keywords:	mathematics;linear algebra;matrix theory;immanants;preservers;
Type (COBISS):	Not categorized
Pages:	str. 113-120
Volume:	ǂTom. ǂ13
Issue:	ǂvyp. ǂ4
Chronology:	2007
ID:	1473555