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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Paris 7, Case 7052, 2 place Jussieu, Paris, France

    H. L. Eliasson

  2. Department of Mathematics and the Maxwell Institute for Mathematical Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, Scotland, UK

    S. B. Kuksin

  3. Steklov Institute of Mathematics, 8 Gubkina St, 117966, Moscow, Russia

    S. B. Kuksin

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  1. H. L. Eliasson
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  2. S. B. Kuksin
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Correspondence to S. B. Kuksin.

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Eliasson, H.L., Kuksin, S.B. Infinite Töplitz–Lipschitz matrices and operators. Z. angew. Math. Phys. 59, 24–50 (2008). https://doi.org/10.1007/s00033-006-6030-6

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  • DOI: https://doi.org/10.1007/s00033-006-6030-6

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