Jordan {g,h}-derivations on triangular algebras

Authors:

Open Access

1 January 2020

journal article
research article
Published by Walter de Gruyter GmbH in Open Mathematics

Vol. 18 (1) , 894-901
DOI:10.1515/math-2020-0044

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)

is a {g,h}-derivation if and only if

\dim 0_{+} \neq 1

\dim H_{-}^{⊥} \neq 1

, where

N

is a non-trivial nest on a complex separable Hilbert space H and

τ (N)

is the associated nest algebra.

Keywords

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