  In the paper, we introduce the notion of a Rota-Baxter operator of a
non-scalar weight. As a motivation, we show that there is a natural connection
between Rota-Baxter operators of this type and structures of quasitriangular
Lie bialgebras on a quadratic finite-dimensional Lie algebra. Moreover, we show
that some classical results on Lie bialgebra structure on simple
finite-dimensional Lie algebras can be obtained from the corresponding results
for Rota-Baxter operators.
