On the stability of the first order linear recurrence in topological vector spaces

Mohammad Sal Moslehian, Dorian Popa

Suppose that $\mathcal{X}$ is a sequentially complete Hausdorff locally convex space over a scalar field $\mathbb{K}$, $V$ is a bounded subset of $\mathcal{X}$, $(a_n{)}_{n\ge 0}$ is…