Equivalence classes of linear mappings on \(\mathcal B(\mathcal M)\)
type: Item
instance of: scholarly article
title: Equivalence classes of linear mappings on \(\mathcal B(\mathcal M)\)
zbMATH Open document ID: 1263.47046
author: T. Aghasizadeh
author: Shirin Hejazian
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2012-07-04T00:00:00Z
full work available at URL: vol35 3 4.html
review text: Let \({\mathcal B}({\mathcal M})\) the \(C^*\)-algebra of all adjointable operators on a Hilbert \(C^*\)-module \({\mathcal M}\) over a \(C^*\)-algebra \({\mathcal A}\), and \({\mathcal L}({\mathcal B}({\mathcal M}))\) be the algebra of all linear operators on \({\mathcal B}({\mathcal M})\). The authors define and study on \({\mathcal L}({\mathcal B}({\mathcal M}))\) certain equivalence relations coming from different classes and properties of adjointable operators on \({\mathcal B}({\mathcal M})\) such as \({\mathcal A}\)-Fredholmness, semi-\({\mathcal A}\)-Fredholmness, compactness, and generalized invertibility.
reviewed by: Abdellatif Bourhim
Mathematics Subject Classification ID: 47B48
Mathematics Subject Classification ID: 46L08
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 6052947
zbMATH Keywords: Hilbert \(C^*\)-module
zbMATH Keywords: \(\mathcal A\)-Fredholm operator
zbMATH Keywords: semi-\(\mathcal A\)-Fredhom operator
zbMATH Keywords: generalized invertible operator
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6052947