Jordan triple derivations on J-subspace lattice algebras |
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| Authors: | Xiao Fei Qi Jin Chuan Hou |
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| Institution: | (1) Department of Mathematics, Shanxi University, Taiyuan, 030006, P. R. China;(2) Department of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, P. R. China |
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| Abstract: | 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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| Keywords: | J-subspace lattice algebra Jordan triple derivations generalized Jordan triple deriva- tions generalized Jordan derivations |
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