The failure of factorization of positive matrix functions on noncircular contours

Alexander Markus; Vladimir Matsaev

doi:10.1016/0024-3795(94)90441-3

The failure of factorization of positive matrix functions on noncircular contours

Alexander Markus, Vladimir Matsaev

Department of Mathematics

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

2 Scopus citations

Abstract

We prove that on an arbitrary simple closed noncircular contour there exists a positive Hölder continuous matrix function which does not admit the factorization.

Original language	English
Pages (from-to)	231-237
Number of pages	7
Journal	Linear Algebra and Its Applications
Volume	208-209
Issue number	C
DOIs	https://doi.org/10.1016/0024-3795(94)90441-3
State	Published - 1 Jan 1994

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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title = "The failure of factorization of positive matrix functions on noncircular contours",

abstract = "We prove that on an arbitrary simple closed noncircular contour there exists a positive H{\"o}lder continuous matrix function which does not admit the factorization.",

author = "Alexander Markus and Vladimir Matsaev",

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AU - Matsaev, Vladimir

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N2 - We prove that on an arbitrary simple closed noncircular contour there exists a positive Hölder continuous matrix function which does not admit the factorization.

AB - We prove that on an arbitrary simple closed noncircular contour there exists a positive Hölder continuous matrix function which does not admit the factorization.

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JO - Linear Algebra and Its Applications

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The failure of factorization of positive matrix functions on noncircular contours

Abstract

ASJC Scopus subject areas

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