Jordan triple derivations on J-subspace lattice algebras

被引：0
|
作者：
Xiao Fei Qi
Jin Chuan Hou
机构：
[1] Shanxi University,Department of Mathematics
[2] Taiyuan University of Technology,Department of Mathematics
来源：
Acta Mathematica Sinica, English Series | 2012年 / 28卷
关键词：
-subspace lattice algebra; Jordan triple derivations k[generalized Jordan triple derivations; generalized Jordan derivations; 47L35;
D O I：
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中图分类号：
学科分类号：
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 ⊆ 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：7
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