Additivity of Jordan *-maps between operator algebras
type: Item
instance of: scholarly article
title: Additivity of Jordan *-maps between operator algebras
zbMATH Open document ID: 0623.46024
author: Jôsuke Hakeda
author: Kazuyuki Saitô
published in: Journal of the Mathematical Society of Japan
publication date: 1986-01-01T00:00:00Z
review text: Let M be a unital \(C^*\)-algebra and let N be an associative *-algebra. A bijection \(\phi\) from M to N which preserves the Jordan structure and the involution is said to be a Jordan *-map. The authors show that if M has a system of \(n\times n\) matrix units (n\(\geq 2)\) then every Jordan *- map is additive.
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 46L70
zbMATH DE Number: 4011208
zbMATH Keywords: unital \(C^ *\)-algebra
zbMATH Keywords: associative *-algebra
zbMATH Keywords: Jordan structure
zbMATH Keywords: Jordan *-map
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/03830403
OpenAlex ID: W2170073120
DOI: 10.2969/JMSJ/03830403
description: scientific article; zbMATH DE number 4011208