On the properties of Ascent and Descent of Composition operator on Orlicz spaces

TL;DR

This paper characterizes the ascent and descent properties of composition operators on Orlicz spaces, covering cases of both finite and infinite ascent and descent, to understand their operator-theoretic behavior.

Contribution

It provides a comprehensive analysis of the ascent and descent of composition operators on Orlicz spaces, including cases of finite and infinite values, which was not previously detailed.

Findings

Characterization of composition operators with finite ascent and descent.

Analysis of operators with infinite ascent and descent.

Enhanced understanding of operator behavior on Orlicz spaces.

Abstract

Here, the composition operators on Orlicz spaces with finite ascent and descent as well as infinite ascent and descent are characterized.