Norm inequalities for self-adjoint derivations
type: Item
instance of: scholarly article
title: Norm inequalities for self-adjoint derivations
zbMATH Open document ID: 0963.47006
author: Danko R. Jocić
published in: Journal of Functional Analysis
publication date: 2001-04-02T00:00:00Z
review text: For Part II, see Topics in Operator Theory, 1994, 161-168 (1995; Zbl 0861.47005). From the introduction: The following norm inequality is proved for bounded Hilbert space operators and for all unitarily invariant norms \[ ||||A-B|^p|||\leq 2^{p-1} |||A|A|^{p-1}- B|B|^{p-1}|||, \] for all real \(p\geq 2\). If, moreover, \(A\) and \(B\) are selfadjoint, then \[ ||||AX= XB|^p|||\leq 2^{p-1}\|X\|^{p-1} ||||A|^{p-1} AX+ XB|B|^{p-1}|||, \] for all real \(p\geq 3\).
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 47A63
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 47B47
Mathematics Subject Classification ID: 46B25
zbMATH DE Number: 1006666
zbMATH Keywords: norm inequality
zbMATH Keywords: bounded Hilbert space operators
zbMATH Keywords: unitarily invariant norms
zbMATH Keywords: selfadjoint
MaRDI profile type: Publication
full work available at URL: jfan.1996.3004
OpenAlex ID: W2038401674
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DOI: 10.1006/JFAN.1996.3004
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description: scientific article; zbMATH DE number 1006666