Cartesian decompositions and Schatten norms
type: Item
instance of: scholarly article
title: Cartesian decompositions and Schatten norms
zbMATH Open document ID: 0981.47008
DOI: 10.1016/S0024-3795(00)00206-8
author: Rajendra Bhatia
author: Fuad Kittaneh
published in: Linear Algebra and its Applications
publication date: 2002-03-01T00:00:00Z
review text: Let \(T\) be a Hilbert space operator with \(T=A+iB\), where \(A\) and \(B\) are Hermitian. The authors establish the sharp inequalities comparing the norms \(\|T\|_p\) with \(\|(A^2+B^2)^{1/2}\|_p\) and \((\|A\|_p^2+\|B\|_p^2)^{1/2}\), where \(\|\cdot\|_p\) is the Schatten \(p\)-norm.
Mathematics Subject Classification ID: 47A30
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 1547891
zbMATH Keywords: Hermitian operator
zbMATH Keywords: Cartesian decomposition
zbMATH Keywords: Schatten \(p\)-norm
zbMATH Keywords: inequality
reviewed by: Dachun Yang
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1547891