Lie triple derivations of von Neumann algebras
Author:
C. Robert Miers
Journal:
Proc. Amer. Math. Soc. 71 (1978), 57-61
MSC:
Primary 46L10; Secondary 17B65
DOI:
https://doi.org/10.1090/S0002-9939-1978-0487480-9
MathSciNet review:
0487480
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Abstract | References | Similar Articles | Additional Information
Abstract: A Lie triple derivation of an associative algebra M is a linear map such that
![$\displaystyle L[[X,Y],Z] = [ {[L(X),Y],Z} ] + [ {[X,L(Y)],Z} ] + [ {[X,Y],L(Z)} ]$](images/img4.gif)

![$ [X,Y] = XY - YX$](images/img6.gif)

![$ L(X) = [A,X] + \lambda (X)$](images/img8.gif)

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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1978-0487480-9
Keywords:
Lie triple derivation,
von Neumann algebra
Article copyright:
© Copyright 1978
American Mathematical Society