The $R$-operation in the $\lambda\varphi^4$-theory as a consequence of an indefinite metric in the extended space of states (lowest orders)

It is shown that the iterative solution of the Heisenberg equations of motion for the operators of creation and annihilation in the quasi-Fok space [1] automatically lead in the first two orders of perturbation theory to the field renormalized by a certain $R$-operation. Thus, the expressions for the constant $\delta m^2$ of the mass renormalization and the constant $Z_3$ of the wavefunction renormalization are finite in the quasi-Fok space.