Maps completely preserving zero triple Jordan product of operators

Let mathcal{A} and mathcal{B} be two standard operator algebra on  Banach spaces mathcal{X} and mathcal{Y}, respectively. In this paper, we determine the forms of the surjective maps from mathcal{A} onto mathcal{B} such that completely preserve zero triple Jordan product in both directions.

Keywords:

Preserving problem , Completely preserving problem , Triple Jordan product , Operator algebra.