About interpolation of subspaces of reaarangement invariant spaces   generated by Rademacher system
  The Rademacher series in rearrangement invariant function spaces "closed" to the space L_\infty are considered. In terms of interpolation theory of operators a correspondence between such spaces and spaces of coefficients generated by them is stated. It is proved that this correspondence is one-to-one. Some examples and applications are presented. 
S.V.Astashkin