# Two properties of M\"untz spaces

## TL;DR

This paper investigates M"untz spaces within $C[0,1]$, demonstrating they contain asymptotically isometric copies of $c_0$ and have duals with octahedral geometry, revealing new structural properties.

## Contribution

It establishes two novel geometric properties of M"untz spaces: containing asymptotically isometric copies of $c_0$ and having octahedral dual spaces.

## Key findings

- M"untz spaces contain asymptotically isometric copies of $c_0
- Dual spaces of M"untz spaces are octahedral
- Reveals new geometric structure of M"untz spaces

## Abstract

We show that M\"{u}ntz spaces, as subspaces of $C[0,1]$, contain asymptotically isometric copies of $c_0$ and that their dual spaces are octahedral.