Characterizes linear maps D, T : A → B(X) on unital standard algebras A satisfying aT(b) + D(a)b = 0 whenever ab = 0.
Ghahramani, Additive mappings derivable at non-trivial idempotents on Banach algebras , Linear and Multilinear algebra, 60 (2012), 725–742
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Linear maps characterized by special products on standard operator algebras
Characterizes linear maps D, T : A → B(X) on unital standard algebras A satisfying aT(b) + D(a)b = 0 whenever ab = 0.