On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries
type: Item
instance of: scholarly article
title: On the partial indices of triangular matrix functions with prescribed indices of their diagonal entries
zbMATH Open document ID: 1467.47002
DOI: 10.1007/978-3-319-62527-0_8
author: K. V. Harutyunyan
author: Armen G. Kamalyan
author: Ilya M. Spitkovsky
publication date: 2019-02-26T00:00:00Z
review text: Given \(\chi=(\chi_1,\chi_2,\dots,\chi_n)\in\mathbb{Z}^n\), let \(T(\chi)\) denote the set of all lower triangular \(n\times n\) matrix functions defined on a Carleson closed curve, with bounded measurable entries, \(L_p\)-factorable diagonal entries, and the fixed tuple \(\chi\) of indices of their diagonal entries. Then all matrix functions \(G\in T(\chi)\) admit right generalized factorization in \(L_p\). An explicit description of all possible right partial indices tuples for all matrix functions \(G\in T(\chi)\) is obtained by applying contractions and majorizations. For the entire collection see [Zbl 1392.45001].
reviewed by: Yuri I. Karlovich
Mathematics Subject Classification ID: 47A08
Mathematics Subject Classification ID: 47A68
zbMATH DE Number: 7029829
zbMATH Keywords: partial indices
zbMATH Keywords: factorisation
zbMATH Keywords: triangular matrices
MaRDI profile type: Publication
full work available at URL: 978-3-319-62527-0 8
OpenAlex ID: W2795074394
description: scientific article; zbMATH DE number 7029829