Abstract
We consider the problem of describing the form Jordan -derivations of a triangular algebra . The main result states that every Jordan -derivation of is of the form , where is a -derivation of and is a special mapping of . We search for sufficient conditions on a triangular algebra, such that . In particular, any Jordan -derivation of a nest algebra is a -derivation and any Jordan -derivation of an upper triangular matrix algebra , where is a commutative unital algebra, is a -derivation.
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