Solving the Sylvester equation in Banach modules

Bogdan Djordjević

For given unital complex Banach algebras ${\mathcal{A}}_1$ and ${\mathcal{A}}_2$, let $\mathfrak{M}$ be a Banach module acting between them. Let $a\in {\mathcal{A}}_1$, $b\in\mathcal{A}_…