Infinite Töplitz-Lipschitz matrices and operators

H. L. Eliasson; S. B. Kuksin

doi:10.1007/s00033-006-6030-6

Infinite Töplitz-Lipschitz matrices and operators

H. L. Eliasson, S. B. Kuksin

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We introduce a class of infinite matrices{(A_ss', s, s' ? Z^d), which are asymptotically (as |s| + |s'| ? 8) 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. © 2007 Birkhaeuser.

Original language	English
Pages (from-to)	24-50
Number of pages	27
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	59
Issue number	1
DOIs	https://doi.org/10.1007/s00033-006-6030-6
Publication status	Published - Jan 2008

Keywords

Hankel matrix
Infinite matrix
Matrix algebra
Töplitz matrix

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10.1007/s00033-006-6030-6

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abstract = "We introduce a class of infinite matrices\{(Ass', s, s' ? Zd), which are asymptotically (as |s| + |s'| ? 8) close to Hankel-T{\"o}plitz 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. {\textcopyright} 2007 Birkhaeuser.",

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AU - Kuksin, S. B.

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AB - We introduce a class of infinite matrices{(Ass', s, s' ? Zd), which are asymptotically (as |s| + |s'| ? 8) 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. © 2007 Birkhaeuser.

KW - Hankel matrix

KW - Infinite matrix

KW - Matrix algebra

KW - Töplitz matrix

UR - https://www.scopus.com/pages/publications/49049113259

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JO - Zeitschrift fur Angewandte Mathematik und Physik

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IS - 1

ER -

Infinite Töplitz-Lipschitz matrices and operators

Abstract

Keywords

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