Infinite Töplitz–Lipschitz matrices and operators

Abstract

We introduce a class of infinite matrices \({(A_{ss\prime}, s, s\prime \in \mathbb{Z}^d)}\) , which are asymptotically (as |s| + |s′| → ∞) close to Hankel–Toplitz matrices. We prove that this class forms an algebra, and that flow-maps of nonautonomous linear equations with coefficients from the class also belong to it.