Triangular truncation and finding the norm of a Hadamard multiplier
type: Item
instance of: scholarly article
title: Triangular truncation and finding the norm of a Hadamard multiplier
zbMATH Open document ID: 0751.15010
DOI: 10.1016/0024-3795(92)90414-6
author: Carl C. Cowen
author: S. K. Narayan
author: James R. Angelos
published in: Linear Algebra and its Applications
publication date: 1992-09-27T00:00:00Z
review text: Let \(K_ n\) be the norm of the operator on \(M_ n(\mathbb{C})\) which assigns to each matrix its lower triangular part (including the diagonal). The authors show that \(\lim_{n\to\infty}(K_ n/\log n)=1/\pi\). The values of \(K_ 2\), \(K_ 3\), and \(K_ 4\) are calculated explicitly. (The matrix algebra \(M_ n(\mathbb{C})\) is equipped with the operator norm derived from the scalar product on \(\mathbb{C}^ n\)).
Mathematics Subject Classification ID: 15A60
Mathematics Subject Classification ID: 15A30
zbMATH DE Number: 56852
zbMATH Keywords: triangular truncation operator
zbMATH Keywords: norm
zbMATH Keywords: matrix algebra
reviewed by: Jaroslav Zemánek
MaRDI profile type: Publication
full work available at URL: 0024-3795(92)90414-6
OpenAlex ID: W2064066631
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description: scientific article; zbMATH DE number 56852