On certain functional equation arising from (m, n)-Jordan centralizers in prime rings

Nina Peršin (Avtor), Joso Vukman (Avtor)

Povzetek

The purpose of this paper is to prove the following result. Let ▫$m \ge 1$▫, ▫$n \ge 1$▫ be some fixed integers and let ▫$R$▫ be a prime ring with ▫$\text{char}(R)= 0$▫ or ▫$(m+n)^2 < \text{char}(R)$▫. Suppose there exists an additive mapping ▫$T \colon R \to R$▫ satisfying the relation ▫$2(m+n)^2T(x^3) = m(2m+n)T(x)x^2 + 2mnxT(x)x + n(2n+m)x^2T(x)$▫ for all ▫$x \in R$▫. In this case ▫$T$▫ is a two-sided centralizer.

Ključne besede

matematika;algebra;kolobar;prakolobar;polprakolobar;Banachov prostor;Hilbertov prostor;algebra vseh omejenih linearnih operatorjev;standardna operatorska algebra;odvajanje;jordansko odvajanje;centralizator;ring;prime ring;semiprime ring;Banach space;Hilbert space;algebra of all bounded linear operators;standard operator algebra;derivation;Jordan derivation;left (right) centralizer;two-sided centralizer;left (right) Jordan centralizer;(m,n)-Jordan centralizer;

Podatki

Jezik:	Angleški jezik
Leto izida:	2012
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UM FNM - Fakulteta za naravoslovje in matematiko
UDK:	517.986
COBISS:	19107848
ISSN:	0017-095X
Št. ogledov:	377
Št. prenosov:	38
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Angleški jezik
URN:	URN:SI:UM:
Vrsta dela (COBISS):	Delo ni kategorizirano
Strani:	str. 119-132
Letnik:	Vol. 47
Zvezek:	no. 1
Čas izdaje:	2012
ID:	1477043