A note on 0-1 Schur multipliers
type: Item
instance of: scholarly article
title: A note on 0-1 Schur multipliers
zbMATH Open document ID: 0828.15014
DOI: 10.1016/0024-3795(93)00268-5
author: Leo Livshits
published in: Linear Algebra and its Applications
publication date: 1996-01-11T00:00:00Z
review text: Let \(M\) be a set of \(m\times n\) complex matrices. A matrix \(A= (a_{ij})\in M\) is called a Schur multiplier if \(A= (a_{ij} b_{ij})\), where \(B= (b_{ij})\) is the \(m\times n\) matrix from the set of bounded operator matrices in \(M\). In this paper, the author is concerned with matrices of 0's and 1's that are Schur multipliers. He answers a question of \textit{Q. F. Stout} [J. Oper. Theory 5, 231-243 (1981; Zbl 0491.46044)] about the role of the triangle truncation in constructing 0-1 matrices that are not Schur multipliers.
reviewed by: K.Burian
Mathematics Subject Classification ID: 15B36
Mathematics Subject Classification ID: 15A60
zbMATH DE Number: 778232
zbMATH Keywords: complex matrices
zbMATH Keywords: Schur multiplier
zbMATH Keywords: bounded operator matrices
zbMATH Keywords: 0-1 matrices
MaRDI profile type: Publication
full work available at URL: 0024-3795(93)00268-5
OpenAlex ID: W2096249697
cites work: Triangular truncation and finding the norm of a Hadamard multiplier
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description: scientific article; zbMATH DE number 778232