  A theoretical investigation of the radiative capture of an electron into a
bound state of heavy, hydrogen-like ion is presented. Special attention is paid
to the question of how the linear polarization of the emitted radiation is
affected by the inter-electronic interaction effects. An analysis of these
effects is performed within both, the screening-potential approximation and the
perturbation theory that treats rigorously the electron correlations to the
first order in the parameter 1/Z. By making use of these two approaches,
detailed calculations are performed for relativistic collisions of
hydrogen-like europium Eu^{62+}, bismuth Bi^{82+} and uranium U^{91+} ions with
free electron and low-Z atomic targets. Results of the calculations indicate
that the two-electron effects may significantly influence the polarization
properties of the recombination x-rays; the effect which can be observed by the
present-day polarization detectors.
