A note on 0-1 Schur multipliers
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.
scientific article; zbMATH DE number 778232