On the norm of a Schur product
type: Item
instance of: scholarly article
title: On the norm of a Schur product
zbMATH Open document ID: 0596.15023
DOI: 10.1016/0024-3795(86)90300-9
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: The author estimates the norm of the mapping \(X\mapsto A\circ X\) on \(M_ n({\mathbb{C}})\), where ''\(\circ ''\) is the Schur-Hadamard (coordinatewise) product of matrices, and X has the norm it acquires as a linear operator on a complex n-dimensional Hilbert space. Lower and upper bounds are obtained in terms of the matrix entries of A, \((A^*A)^{1/2}\) and \((AA^*)^{1/2}\).
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 3959672
zbMATH Keywords: norm
zbMATH Keywords: Schur-Hadamard product
zbMATH Keywords: Lower and upper bounds
author: Martin E. Walter
reviewed by: Jaroslav Zemánek
MaRDI profile type: Publication
full work available at URL: 0024-3795(86)90300-9
OpenAlex ID: W2080697356
cites work: Non-abelian Pontriagin duality
cites work: Recent development of the theory of completely bounded maps between \(C^*\)-algebras
cites work: Dual algebras.
description: scientific article; zbMATH DE number 3959672