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Ascent and descent of WCT operators on Orlicz spaces

2023/05/16 by Soheila Nojoumi, Nojoumi, S., Saeedeh Shamsigamchi +1
Mathematics · #Holomorphic and Operator Theory #Advanced Harmonic Analysis Research #Advanced Banach Space Theory

paper · pdf · doi:10.48550/arxiv.2305.09364

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.

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