On derivations of operator algebras with involution

Nejc Širovnik (Avtor), Joso Vukman (Avtor)

Povzetek

The purpose of this paper is to prove the following result. Let X be a complex Hilbert space, let L(X) be an algebra of all bounded linear operators on X and let A(X) ⊂ L(X) be a standard operator algebra, which is closed under the adjoint operation. Suppose there exists a linear mapping D : A(X) → L(X) satisfying the relation 2D(AA*A) = D(AA*)A + AA*D(A) + D(A)A*A + AD(A*A) for all A ∈ A(X). In this case, D is of the form D(A) = [A,B] for all A ∈ A(X) and some fixed B ∈ L(X), which means that D is a derivation.

Ključne besede

matematika;algebra;prakolobarji;polprakolobarji;odvajanje;jordansko odvajanje;Banachovi prostori;mathematics;prime rings;semiprime rings;derivation;Jordan derivation;Banach space;

Podatki

Jezik:	Angleški jezik
Leto izida:	2014
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UM FNM - Fakulteta za naravoslovje in matematiko
UDK:	512.55
COBISS:	20972040
ISSN:	0420-1213
Št. ogledov:	678
Št. prenosov:	310
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	matematika;algebra;prakolobarji;polprakolobarji;odvajanje;jordansko odvajanje;Banachovi prostori;
URN:	URN:SI:UM:
Vrsta dela (COBISS):	Znanstveno delo
Strani:	str. 784-790
Letnik:	ǂVol. ǂ47
Zvezek:	ǂno. ǂ4
Čas izdaje:	2014
ID:	9595928