Fe + O3 --> Fe2O3 + O2 is correct for a reaction equation, you are just missing the coefficients. You balance this equation.
The information you gave states that you are reacting elemental iron (Fe) with ozone (O3), not regular diatomic oxygen (O2). Therefore your reactants are Fe and O3. The info about the products are that you are producing Fe2O6 and O2. That is how I can tell that you need to use O3 on the reactant side.
Do you understand now?