We analyze the possibilities to define density operators for the Gamow vect
ors in order to extend this concept to the Liouville space. We shall study
the properties of the dyadic products of Gamow vectors and see that there e
xist difficulties if we try to obtain a Gamow density in Liouville space by
factorizing Gamow vectors. (C) 2001 John WiIey & Sons, Inc.