A convex operator function
type: Item
instance of: scholarly article
title: A convex operator function
zbMATH Open document ID: 0655.47031
DOI: 10.1155/S0161171288000468
author: Derming Wang
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46315
review text: The author shows that the inversion function \(f(x)=x^{-1}\) on a the positive invertible elements of a C *-algebra is convex in the sense that \(f(\lambda x+(1-\lambda)y)\leq \lambda f(x)+(1-\lambda)f(y)\) for \(0\leq \lambda \leq 1\). The same theorem appears in {\S} 1.3.11 of \textit{G. K. Pedersen}'s book, C *-algebras and their automorphism groups (1979; Zbl 0416.46043).
Mathematics Subject Classification ID: 47C15
zbMATH DE Number: 4069642
zbMATH Keywords: inversion function
zbMATH Keywords: positive invertible elements of a C *-algebra
reviewed by: Herbert Halpern
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4069642