Matrix functions with arbitrarily prescribed left and right partial indices
type: Item
instance of: scholarly article
title: Matrix functions with arbitrarily prescribed left and right partial indices
zbMATH Open document ID: 0960.47012
DOI: 10.1007/BF01236287
published in: Integral Equations and Operator Theory
publication date: 2001-05-08T00:00:00Z
review text: The main result is as follows. Given two vectors \(\rho, \lambda \in Z^n, n \geq 2,\) there exists a matrix function in \(L^\infty_{n \times n}\) on the unit circle which has the right Wiener-Hopf factorization in \(L^2\) with partial indices \(\rho\) and the left Wiener-Hopf factorization in \(L^2\) with partial indices \(\lambda\).
reviewed by: Boris Rubin
Mathematics Subject Classification ID: 47A68
Mathematics Subject Classification ID: 47A56
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 30D55
zbMATH DE Number: 1417544
zbMATH Keywords: matrix functions
zbMATH Keywords: Wiener-Hopf factorization
author: A. Böttcher
author: S. M. Grudsky
author: Ilya M. Spitkovsky
MaRDI profile type: Publication
cites work: On the Fredholm indices of associated systems of Wiener-Hopf equations
cites work: Factorization of matrix functions and singular integral operators
cites work: On some properties of factorization indices
cites work: Q5509164
cites work: SOME GENERAL QUESTIONS IN THE THEORY OF THE RIEMANN BOUNDARY PROBLEM
cites work: Q4123879
full work available at URL: https://doi.org/10.1007/bf01236287
OpenAlex ID: W2018616432
description: scientific article; zbMATH DE number 1417544