Title : ( Characterization of Lie Higher Derivations on C*-Algebras )
Authors: A. R. Janfada , H. Saidi , Madjid Mirzavaziri ,
Full TextAbstract
Let A be a C-algebra and Z(A) the center of A. A se- quence fLng1 n=0 of linear mappings on A with L0 = I, where I is the identity Σ mapping on A, is called a Lie higher derivation if Ln[x; y] = i+j=n[Lix;Ljy] for all x; y 2 A and all n ⩾ 0. We show that fLng1 n=0 is a Lie higher derivation if and only if there exist a higher derivation fDn : A ! Ag1 n=0 and a sequence of linear mappings fΔn : A ! Z(A)g1 n=0 such that Δ0 = 0, Δn([x; y]) = 0 and Ln = Dn + Δn for every x; y 2 A and all n 0.
Keywords
, Lie Derivations, Lie Higher derivations.
@article{paperid:1049763,
author = {A. R. Janfada and H. Saidi and Mirzavaziri, Madjid},
title = {Characterization of Lie Higher Derivations on C*-Algebras},
journal = {Bulletin of the Iranian Mathematical Society},
year = {2015},
volume = {41},
number = {4},
month = {September},
issn = {1735-8515},
pages = {901--906},
numpages = {5},
keywords = {Lie Derivations; Lie Higher derivations.},
}
%0 Journal Article
%T Characterization of Lie Higher Derivations on C*-Algebras
%A A. R. Janfada
%A H. Saidi
%A Mirzavaziri, Madjid
%J Bulletin of the Iranian Mathematical Society
%@ 1735-8515
%D 2015
