ABSTRACT
Furthermore, the operators R0 and R0 agree on each x* X*, i.e., R = R0, which can be seen from
(R x*) (t) = R x*, t = R t,x* = R0 t,x* = (R0x*) (t). Hence, the corresponding Hilbert subspaces of X associated with the operators R and R0 coincide, i.e., HR = HR0.
