A Characterization of Generalized Derivations of JSL Algebras

作者：Chen, Lin; Lu, Fang Yan^*

来源：Acta Mathematica Sinica-English Series, 2017, 33(4): 495-500.

DOI：10.1007/s10114-016-6235-3

• Generalized derivation
• derivation
• derivable mapping

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

• 出版日期2017-4
• 单位苏州大学; 安顺学院