Common Hermitian solutions to some operator equations on Hilbert \(C^{*}\)-modules
type: Item
instance of: scholarly article
title: Common Hermitian solutions to some operator equations on Hilbert \(C^{*}\)-modules
zbMATH Open document ID: 1197.47031
author: Qing-Wen Wang
author: Zhong-Cheng Wu
published in: Linear Algebra and its Applications
publication date: 2010-05-11T00:00:00Z
review text: The authors present some solvability conditions for the equations \(A_1X = C_1\), \(XB_1 = C_2\), \(A_3XA_3^* = C_3\), \(A_4XA_4^* = C_4\) to possess common Hermitian solution and give an expression for this common Hermitian solution when the solvability conditions are satisfied.
reviewed by: Mohammad Sal Moslehian
Mathematics Subject Classification ID: 47A62
Mathematics Subject Classification ID: 46L08
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 15A24
zbMATH DE Number: 5706974
zbMATH Keywords: Hilbert \(C^*\)-module
zbMATH Keywords: operator equation
zbMATH Keywords: Moore--Penrose inverse
zbMATH Keywords: Hermitian solution
MaRDI profile type: Publication
full work available at URL: j.laa.2010.01.015
OpenAlex ID: W1989959488
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DOI: 10.1016/J.LAA.2010.01.015
description: scientific article; zbMATH DE number 5706974