Ascent and descent of WCT operators on Orlicz spaces

Abstract

In this paper we are concerned with weighted conditional type(WCT) operators on Orlicz spaces. We prove that all WCT operators have finite ascent. Also, we provide some sufficient conditions for WCT operators to have finite descent. As a consequence we find some decompositions for Orlicz space L. In the sequel we discuss power bounded WCT operators and some results on their Cesaro boundedness.