Abstract
Suppose that is a 2‐torsion free triangular ring, and , where P is the standard idempotent of and Q = I − P. Let be a mapping (not necessarily additive) satisfying, , where A∘B = AB + BA is the Jordan product of . We obtain various equivalent conditions for δ, specifically, we show that δ is an additive derivation. Our result generalizes various results in these directions for triangular rings. As an application, δ on nest algebras are determined.
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