Uniqueness of the maximal ideal of the Banach algebra of bounded operators on $C([0,{\omega }_1])$

Tomasz Kania, Niels Jakob Laustsen

Let ${\omega }_1$ be the first uncountable ordinal. By a result of Rudin, bounded operators on the Banach space $C([0,{\omega }_1])$ have a natural representation as $[0,{\omega }_1]\times 0,{\omega }_1]$-matrice…