A Characterization of Generalized Derivations of JSL Algebras  

作　　者：Lin CHEN Fang Yan LU 

机构地区：[1]Department of Mathematics, Soochow University [2]Department of Mathematics, Anshun University

出　　处：《Acta Mathematica Sinica,English Series》2017年第4期495-500,共6页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11571247);supported by the union program of department of science technology in Guizhou province,Anshun government and Anshun university(Grant No.201304)

摘　　要：Let AlgL be a J-subspace lattice algebra on a Banach space X and M be an operator in AlgL. We prove that if δ : AlgL → B(X) is a linear mapping satisfying δ(AB) = δ(A)B + Aδ(B)for all A, B ∈ AlgL with AMB = 0, then δ is a generalized derivation. This result can be applied to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras.Let AlgL be a J-subspace lattice algebra on a Banach space X and M be an operator in AlgL. We prove that if δ : AlgL → B(X) is a linear mapping satisfying δ(AB) = δ(A)B + Aδ(B)for all A, B ∈ AlgL with AMB = 0, then δ is a generalized derivation. This result can be applied to atomic Boolean subspace lattice algebras and pentagon subspace lattice algebras.

关 键 词：Generalized derivation DERIVATION derivable mapping 

分 类 号：O177[理学—数学]