Jordan triple derivations on J-subspace lattice algebras

被引：1
|
作者：
Qi, Xiao Fei [1 ]
Hou, Jin Chuan [2 ]
机构：
[1] Shanxi Univ, Dept Math, Taiyuan 030006, Peoples R China
[2] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2012年 / 28卷 / 02期
基金：
高等学校博士学科点专项科研基金;
关键词：
J-subspace lattice algebra; Jordan triple derivations; generalized Jordan triple derivations; generalized Jordan derivations;
D O I：
10.1007/s10114-012-9524-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let L be a J-subspace lattice on a Banach space X and AlgL the associated J-subspace lattice algebra. Let A be a standard operator subalgebra (i.e., it contains all finite rank operators in AlgL) of AlgL and M aS dagger B(X) the AlgL-bimodule. It is shown that every linear Jordan triple derivation from A into M is a derivation, and that every generalized Jordan (triple) derivation from A into M is a generalized derivation.
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页码：417 / 424
页数：8
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