Home > Papers

 
 
ξ-Lie derivable maps and generalized ξ-Lie derivable maps on standard operator algebras
Liu Lei 1,Ji Guoxing 2 *
1.College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062
2.College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062
*Correspondence author
#Submitted by
Subject:
Funding: the National Natural Science Foundation of China(No.No.10971123), the Specialized Research Fund for the Doctoral Program of Higher Education(No.No.20090202110001)
Opened online: 7 May 2012
Accepted by: none
Citation: Liu Lei ,Ji Guoxing .ξ-Lie derivable maps and generalized ξ-Lie derivable maps on standard operator algebras[OL]. [ 7 May 2012] http://en.paper.edu.cn/en_releasepaper/content/4476863
 
 
Let X be a Banach space over the real or complex field F and A⊆B(X) be a standard operator algebra.We prove that a ξ-Lie derivable map δ on A is the sum of an additive derivation and a map from A to F vanishing all commutators when ξ=1; is an additive derivationsatisfying δ(ξ A)=ξδ(A) when ξ≠1. Related results concerning generalized ξ-Lie derivablemaps are given.
Keywords:Standard operator algebras; Derivations; ξ-Lie derivable maps; Generalized ξ-Lie derivable maps
 
 
 

For this paper

  • PDF (0B)
  • ● Revision 0   
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags

Add yours

Related Papers

Statistics

PDF Downloaded 301
Bookmarked 0
Recommend 5
Comments Array
Submit your papers