  In the framework of the Relativistic Mean Field Approach a pseudospin
dependence of the residual forces in nuclei is considered. It is shown that
this dependence is relatively weak. As a consequence, a pseudospin dependence
of the particle--core coupling is weak as well. This leads to a small splitting
of the pseudospin doublets produced by a vector coupling of an odd particle
pseudospin and a pseudo--orbital momentum of the core. Some possibilities for
experimental investigations of the manifestations of the pseudospin symmetry in
the spectra of odd nuclei with $Z\ge$ 100 are indicated.
