, Volume 59, Issue 1, pp 24-50

Infinite Töplitz–Lipschitz matrices and operators

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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–Töplitz 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.