Norm inequality for the class of self-adjoint absolute value generalized derivations
type: Item
instance of: scholarly article
zbMATH Open document ID: 0999.47502
author: Danko R. Jocić
publication date: 2001-11-28T00:00:00Z
full work available at URL: https://eudml.org/doc/230871
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47B15
zbMATH DE Number: 1677964
zbMATH Keywords: singular values
zbMATH Keywords: three line theorem for operators
zbMATH Keywords: unitarily invariant norms
MaRDI profile type: Publication
title: Norm inequality for the class of self-adjoint absolute value generalized derivations
published in: Matematički Vesnik
review text: It is shown that for \(0\leq \alpha\leq \frac{2}{3}\) and for \(A,{\mathcal B},X \in{\mathcal B}(H)\) (\({\mathcal B}(H)\) is the algebra of bounded operators on a Hilbert space \(H\)) the following inequality holds NEWLINE\[NEWLINE \parallel A ^\alpha X-X B ^\alpha \parallel \leq 2^{2-\alpha} \parallel X\parallel^{1-\alpha} \parallel AX-XB \parallel^\alpha. .NEWLINE\]
description: scientific article; zbMATH DE number 1677964