Generation of the special linear group by elementary matrices in some measure Banach algebras

Abstract

For a commutative unital ring $R$, and $n\in \mathbb N$, let $\mathrm{SL}_n(R)$ denote the special linear group over $R$, and $\mathrm E_n(R)$ the subgroup of elementary matrices. Let $\mathcal M^+$ be the Banach algebra of all complex Borel measures on $