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

Access to Document

10.1007/s00033-006-6030-6

Cite this

@article{81d804cd29254b2982cea24fcb5fe044,

title = "Infinite T{\"o}plitz-Lipschitz matrices and operators",

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.",

keywords = "Hankel matrix, Infinite matrix, Matrix algebra, T{\"o}plitz matrix",

author = "Eliasson, {H. L.} and Kuksin, {S. B.}",

year = "2008",

month = jan,

doi = "10.1007/s00033-006-6030-6",

language = "English",

volume = "59",

pages = "24--50",

journal = "Zeitschrift fur Angewandte Mathematik und Physik",

issn = "0044-2275",

publisher = "Birkh{\"a}user",

number = "1",

}

TY - JOUR

T1 - Infinite Töplitz-Lipschitz matrices and operators

AU - Eliasson, H. L.

AU - Kuksin, S. B.

PY - 2008/1

Y1 - 2008/1

N2 - 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.

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 - http://www.scopus.com/inward/record.url?scp=49049113259&partnerID=8YFLogxK

U2 - 10.1007/s00033-006-6030-6

DO - 10.1007/s00033-006-6030-6

M3 - Article

SN - 0044-2275

VL - 59

SP - 24

EP - 50

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 1

ER -

Infinite Töplitz-Lipschitz matrices and operators

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this