Notes on some inequalities for Hilbert space operators
type: Item
instance of: scholarly article
title: Notes on some inequalities for Hilbert space operators
zbMATH Open document ID: 0655.47009
author: Fuad Kittaneh
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1988-01-01T00:00:00Z
review text: The main result of this paper is the proof that \(| (Tx,y)| \leq \| f(| T|)x\| \| g(| T\) \(*|)y\|\) for all x,y in the Hilbert space H, where T is an arbitrary bounded operaor in H and f, g are nonnegative functions on [0,\(\infty)\) which are continuous and satisfying the relation \(f(t)g(t)=t\). This proof may be considered as a new proof of Heinz inequality. Other operator inequalities such as Reid inequality and Weyl inequality are considered.
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47B15
zbMATH DE Number: 4069620
zbMATH Keywords: new proof of Heinz inequality
zbMATH Keywords: operator inequalities
zbMATH Keywords: Reid inequality
zbMATH Keywords: Weyl inequality
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195175202
OpenAlex ID: W2067800874
cites work: Q4169818
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DOI: 10.2977/PRIMS/1195175202
description: scientific article; zbMATH DE number 4069620