Rasing on the previously pet-formed K-matrix analysis of experimental
data, we investigate, in the framework of the propagator matrix (D-mat
rix) technique, the 1100-1900 MeV mass region, where overlapping reson
ances f(0)(1300), f(0)(1500), f(0) (1530 +/- 90/250), and f(0)(1780) a
re located. Necessary elements of the D-matrix technique are developed
. The D-matrix analysis confirms previous K-matrix results: in the reg
ion 900-1900 MeV five scalar/isoscalar states are located. Four of the
m are members of the two <q(q)over bar>-nonets, while one state is an
extra for the <q(q)over bar> systematics, being a good candidate for t
he lightest scalar glueball. The D-matrix analysis shows that this ext
ra state, a candidate for the lightest scalar glueball, is dispersed,
due to a mixing with <q(q)over bar>-states, over three resonances: f(0
)(1300), f(0)(1500), and f(0)(1530+/-90/250). The broad resonance f(0)
(1530+/-90/250) is a descendant of the lightest glueball, carrying ab
out 50% of the gluonium component, the rest of the gluonium is shared
between f(0)(1300) and f(0)(1500). The broad resonance is formed by ac
cumulating a large part of the neighbouring resonance widths that elab
orates some type of a trap for the adjoining states.