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Additive mappings on symmetric matrices
Bojan Kuzma, Marko Orel, 2006, original scientific article

Abstract: Klasificirane so aditivne preslikave, ki ne povečujejo minimalnega ranga na simetričnih matrikah s koeficienti iz komutativnega obsega karakteristike dve ali tri.
Found in: osebi
Keywords: matematika, linearna algebra, aditivni ohranjevalci, simetrična matrika, rang
Published: 15.10.2013; Views: 2238; Downloads: 77
URL Full text (0,00 KB)

77.
Jordan triple product homomorphisms
Bojan Kuzma, 2006, original scientific article

Abstract: Nondegenerate mappings that preserve Jordan triple product on ▫${\mathscr{M}}_n({\mathbb{F}}$▫ are characterized. Here, ▫$n \ge 3$▫ and ▫$\mathbb{F}$▫ is an arbitrary field.
Found in: osebi
Keywords: mathematics, linear algebra, matrix algebra, Jordan triple product, nonlinear preserver
Published: 15.10.2013; Views: 3236; Downloads: 134
URL Full text (0,00 KB)

78.
Ob otobraženijah, sohranjajuščih immananty
Bojan Kuzma, 2007, original scientific article

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 ▫$Phi$▫.
Found in: osebi
Keywords: matematika, linearna algebra, teorija matrik, imanante, ohranjevalci
Published: 15.10.2013; Views: 2105; Downloads: 85
URL Full text (0,00 KB)

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