Title of article
LIE *−DOUBLE DERIVATIONS ON LIE C*−ALGEBRAS
Author/Authors
GHOBADIPOUR, N Department of Mathematics - Urmia University, Urmia
Pages
9
From page
63
To page
71
Abstract
A unital C* – algebra A, endowed with the Lie product [x, y] = xy−
yx on A, is called a Lie C* – algebra. Let A be a Lie C* – algebra and g, h : A ! A
be C – linear mappings. A C – linear mapping f : A ! A is called a Lie (g, h) –
double derivation if f([a, b]) = [f(a), b]+[a, f(b)]+[g(a), h(b)]+[h(a), g(b)] for all
a, b 2 A. In this paper, our main purpose is to prove the generalized Hyers - Ulam
- Rassias stability of Lie * - double derivations on Lie C* - algebras associated
with the following additive mapping:
Keywords
Generalized Hyers – Ulam – Rassias stability , * – double derivation , Lie C* – algebra
Journal title
Astroparticle Physics
Serial Year
2010
Record number
2441598
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