Jordan \((\alpha,\beta)\)-derivations on operator algebras (Q2405887)

Summary: Let \(\mathcal{A}\) be a CSL subalgebra of a von Neumann algebra acting on a Hilbert space \(H\). It is shown that any Jordan \((\alpha, \beta)\)-derivation on \(\mathcal{A}\) is an \((\alpha, \beta)\)-derivation, where \(\alpha, \beta\) are any automorphisms on \(\mathcal{A}\). Moreover, the \(n\)th power \((\alpha, \beta)\)-maps on \(\mathcal{A}\) are investigated.