# Isometric copies of $l^\infty$ in Ces\`aro-Orlicz function spaces

## TL;DR

This paper characterizes when Cesàro-Orlicz function spaces contain an isometric copy of l-infinity, providing conditions that guarantee such a structure exists within these spaces.

## Contribution

It offers a complete characterization of Cesàro-Orlicz spaces containing an isometric copy of l-infinity and discusses applicable conditions for their existence.

## Key findings

- Cesàro-Orlicz spaces contain isometric copies of l-infinity under specific conditions.
- The paper provides necessary and sufficient conditions for the existence of such copies.
- Applicable conditions are identified that ensure the presence of l-infinity in these spaces.

## Abstract

We characterize Ces\`aro-Orlicz function spaces $Ces_{\varphi}$ containing order isomorphically isometric copy of $l^\infty$. We discuss also some useful applicable conditions sufficient for the existence of such a copy.