# Approximation numbers of composition operators on the Hardy space of the infinite polydisk

## TL;DR

This paper investigates the approximation numbers of composition operators acting on the Hardy space of the infinite polydisk, focusing on their behavior within the  part of the space.

## Contribution

It provides new insights into the approximation numbers of composition operators on Hardy spaces of the infinite polydisk, a less-explored area in functional analysis.

## Key findings

- Characterization of approximation numbers for specific composition operators
- Analysis of the decay rates of approximation numbers in this setting
- New bounds or estimates for these approximation numbers

## Abstract

We study the composition operators of the Hardy space on D $\infty$ $\cap$ {\ell} 1 , the {\ell} 1 part of the infinite polydisk, and the behavior of their approximation numbers.