Jordan {g,h}-derivations on triangular algebras

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 dim0+≠1\dim {0}_{+}\ne 1 or dimH−⊥≠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.

Keywords

• triangular algebra
• {g,h}-derivation
• jordan {g,h}-derivation
• 16w25
• 47l35