Vector-Valued Submarkov Operators and Recurrent Iterated Function Systems1

We consider a recurrent IFS with place-dependent transition weights. By using the quasi-compact operator theory and the spectral theory of positive operators, the eigen-problem of the given system is studied. This is the vector analogue of Fan and Lau’s resultsŽ1999, J. Math. Anal. Appl. 231, 319 344..