Jordan (α,β)‎-Derivations on Operator Algebras

Abstract EN

Let A be a CSL subalgebra of a von Neumann algebra acting on a Hilbert space H.

It is shown that any Jordan (α,β)-derivation on A is an (α,β)-derivation, where α,β are any automorphisms on A.

Moreover, the nth power (α,β)-maps on A are investigated.