On certain functional equation in semiprime rings and standard operator algebras

dc.creator	Sirovnik, Nejc
dc.date	2014-03-01
dc.date.accessioned	2019-04-17T15:45:14Z
dc.date.available	2019-04-17T15:45:14Z
dc.identifier	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1289
dc.identifier.uri	http://revistaschilenas.uchile.cl/handle/2250/44993
dc.description	The main purpose of this paper is to prove the following result, which is related to a classical result of Chernoff. Let X be a real or complex Banach space, let L(X) be the algebra of all bounded linear operators on X and let A(X) ⊆ L(X) be a standard operator algebra. Suppose there exists a linear mapping D : A(X) → L(X) satisfying the relation 2D(An) = D(An−1 )A+An−1D(A)+D(A)An−1+AD(An−1 ) for all A ∈ A(X), where n ≥ 2 is some fixed integer. 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 linear derivation. In particular, D is continuous.	en-US
dc.format	application/pdf
dc.language	eng
dc.publisher	Universidad de La Frontera. Temuco, Chile.	en-US
dc.relation	http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1289/1141
dc.source	CUBO, A Mathematical Journal; Vol. 16 Núm. 1 (2014): CUBO, A Mathematical Journal; 73–80	es-ES
dc.source	CUBO, A Mathematical Journal; Vol 16 No 1 (2014): CUBO, A Mathematical Journal; 73–80	en-US
dc.source	0719-0646
dc.source	0716-7776
dc.title	On certain functional equation in semiprime rings and standard operator algebras	en-US
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion