Note on the invariance properties of operator products involving generalized inverses
type: Item
instance of: scholarly article
title: Note on the invariance properties of operator products involving generalized inverses
zbMATH Open document ID: 1472.47001
DOI: 10.1155/2014/213458
author: Xiaoji Liu
author: Miao Zhang
author: Yaoming Yu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We investigate further the invariance properties of the bounded linear operator product \(A C^{\left(1\right)} B^{\left(1\right)} D\) and its range with respect to the choice of the generalized inverses \(X\) and \(Y\) of bounded linear operators. Also, we discuss the range inclusion invariance properties of the operator product involving generalized inverses.
Mathematics Subject Classification ID: 47A05
zbMATH DE Number: 7021938
zbMATH Keywords: invariance properties
zbMATH Keywords: operator product
zbMATH Keywords: generalised inverse
zbMATH Keywords: range inclusion invariance
Wikidata QID: Q59036085
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/213458
OpenAlex ID: W2027359560
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description: scientific article; zbMATH DE number 7021938