# Density of disc algebra functions in de Branges-Rovnyak spaces

## TL;DR

This paper proves that in de Branges-Rovnyak spaces generated by extreme points of the unit ball of H-infinity, functions that are continuous up to the boundary are dense, enhancing understanding of their structure.

## Contribution

It establishes the density of boundary-continuous functions in specific de Branges-Rovnyak spaces, a novel result in the theory of these function spaces.

## Key findings

- Boundary-continuous functions are dense in certain de Branges-Rovnyak spaces.
- The result applies to spaces induced by extreme points of the unit ball of H-infinity.
- This advances the understanding of the boundary behavior in these spaces.

## Abstract

We prove that functions continuous up to the boundary are dense in de Branges-Rovnyak spaces induced by extreme points the unit ball of $H^\infty$.