Differential and metrical structure of positive operators
type: Item
instance of: scholarly article
title: Differential and metrical structure of positive operators
zbMATH Open document ID: 0962.46055
DOI: 10.1023/A:1009781308281
published in: Positivity
publication date: 2000-01-17T00:00:00Z
review text: The authors consider the Banach manifold \(G^+\) of positive elements in the group \(G\) of invertible elements in a unital \(C^*\) algebra. The geometric properties of this manifold with Finsler metric are studied. This structure is compared with the structure of the cone \(A^+\) of positive elements in \(A\). In particular, a differentiable structure on \(A^+\) has been studied.
Mathematics Subject Classification ID: 46L99
Mathematics Subject Classification ID: 46B70
Mathematics Subject Classification ID: 58B20
zbMATH DE Number: 1389556
zbMATH Keywords: Thompson metric
zbMATH Keywords: group of invertible elements in a unital \(C^*\) algebra
zbMATH Keywords: positive elements
zbMATH Keywords: Finsler metric
zbMATH Keywords: differentiable structure
author: Gustavo Corach
author: A. Maestripieri
reviewed by: Pawel Kruszynski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1389556