Jordan {g,h}-derivations on triangular algebras

Abstract

Abstract In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to be a {g,h}-derivation on triangular algebras. As an application, we prove that every Jordan {g,h}-derivation on τ ( N ) \tau ({\mathscr{N}}) is a {g,h}-derivation if and only if dim 0 + ≠ 1 \dim {0}_{+}\ne 1 or dim H − ⊥ ≠ 1 \dim {H}_{-}^{\perp }\ne 1 , where N {\mathscr{N}} is a non-trivial nest on a complex separable Hilbert space H and τ ( N ) \tau ({\mathscr{N}}) is the associated nest algebra.