Automorphisms of \(B(H)\) with respect to minus partial order
type: Item
instance of: scholarly article
title: Automorphisms of \(B(H)\) with respect to minus partial order
zbMATH Open document ID: 1195.47027
author: Peter Šemrl
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-07-07T00:00:00Z
review text: In this well written paper, the author extends the concept of the minus partial order from matrix to operator algebras and describes bijective maps (not supposed to be linear) on \(B(H)\), the algebra of all bounded linear operators on an infinite-dimensional Hilbert space \(H\), that preserve the minus partial order in both directions. The exposition is clear and the paper makes for an enjoyable reading.
reviewed by: Abdellatif Bourhim
Mathematics Subject Classification ID: 47B49
Mathematics Subject Classification ID: 47A05
zbMATH DE Number: 5731677
zbMATH Keywords: linear operator
zbMATH Keywords: minus partial order
zbMATH Keywords: matrix partial order
zbMATH Keywords: generalised inverse
zbMATH Keywords: idempotent operator
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.02.059
OpenAlex ID: W2012570267
cites work: On locally linearly dependent operators and derivations
cites work: Natural structures on semigroups with involution
cites work: Q3884160
cites work: Automorphisms of \(M_{n}\), partially ordered by rank subtractivity ordering
cites work: Quasidirect addition of operators
cites work: Matrix partial orders through generalized inverses: Unified theory
cites work: Q4087104
cites work: Automorphisms of the poset of skew projections
DOI: 10.1016/J.JMAA.2010.02.059
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description: scientific article; zbMATH DE number 5731677