Qn Invariant Elements for Positive Operators.

In tbe paper we atud> ’ the existence of nonzero positive invaru-ant elementa for positivo operatora in Riesz apeen. The cinas of Riesz apaces for which the results are valid fr large enough to con-tain ah the Banach lattices with arder continuous norma. Ah the resulta obtained in earhier works deal with positive operators in KB-spaces aud iii many of them the approach ja based upan tite use of Banach llinita. The metitoda created for KB-spaces cannot be extended to oir more general setting; tbat is why oir approacb la different. We do not use Banach limita aud tbe invariant ele-menta we come up with are much ensier to describe than tbe ones constructed involving Banach limita.