Some properties of Furuta type inequalities and applications
type: Item
instance of: scholarly article
title: Some properties of Furuta type inequalities and applications
zbMATH Open document ID: 1472.47015
DOI: 10.1155/2014/457367
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This work is to consider Furuta type inequalities and their applications. Firstly, some Furuta-type inequalities under \(A \geq B \geq 0\) are obtained via Loewner-Heinz inequality; as an application, a proof of Furuta inequality is given without using the invertibility of operators. Secondly, we show a unified satellite theorem of grand Furuta inequality which is an extension of the results by \textit{M. Fujii} et al. [Linear Algebra Appl. 438, No. 4, 1580--1586 (2013; Zbl 1270.47016)]. At the end, a kind of Riccati-type operator equation is discussed via Furuta type inequalities.
Mathematics Subject Classification ID: 47A63
Mathematics Subject Classification ID: 47A62
zbMATH DE Number: 7022415
zbMATH Keywords: Furuta-type inequalities
zbMATH Keywords: Riccati-type operator equation
Wikidata QID: Q59038373
author: Jiangtao Yuan
author: Caihong Wang
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/457367
OpenAlex ID: W2132285092
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description: scientific article; zbMATH DE number 7022415