A note on subadditive matrix functions
type: Item
instance of: scholarly article
title: A note on subadditive matrix functions
zbMATH Open document ID: 1004.39020
author: Mandeep Singh
author: Harkrishan L. Vasudeva
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2003-01-26T00:00:00Z
review text: The authors offer results about real-valued subadditive (\(f(X+Y)\leq f(X)+f(Y)\)) functions of matrices, mostly of second order (not distinguished in the paper from the functions \(f_1: \mathbb{R}\to \mathbb{R}\) etc. from which they are extended). For instance, if \(f\) is measurable and \(\sup_{t>0}[f_1(t)/t]\) is finite, then \(f: LG_2(\mathbb{R})\to \mathbb{R}\) is linear.
reviewed by: János Aczél
Mathematics Subject Classification ID: 39B62
Mathematics Subject Classification ID: 39B42
zbMATH DE Number: 1791142
zbMATH Keywords: subadditive function
zbMATH Keywords: functional inequalities
zbMATH Keywords: functions of matrices
zbMATH Keywords: linear functions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1791142