Uniqueness of algebra norm on quotients of the algebra of bounded operators on a Banach space

Max Arnott, Niels Jakob Laustsen

We show that for each of the following Banach spaces~$X$, the quotient algebra $\mathcal{B}(X)/\mathcal{I}$ has a unique algebra norm for every closed ideal $\mathcal{I}$ of $\math…