Rank-1 nilpotency linear preservers on nest algebras.
type: Item
instance of: scholarly article
title: Rank-1 nilpotency linear preservers on nest algebras.
zbMATH Open document ID: 1055.47033
author: Maozheng Guo
author: Jianlian Cui
author: Jinchuan Hou
published in: Linear Algebra and its Applications
publication date: 2004-01-14T00:00:00Z
review text: There are several linear preserver problems considered on \(B(H)\) (the algebra of all bounded linear operators acting on the Hilbert space \(H\)) the study of which can be reduced to the study of linear transformations that preserve rank-1 nilpotent operators. In this paper, under certain conditions the authors describe the general form of those transformations when they are defined on nest algebras. We mention that linear preserver problems on nest algebras have been attracting more and more interest in recent years.
reviewed by: Lajos Molnár
Mathematics Subject Classification ID: 47B49
Mathematics Subject Classification ID: 46H35
Mathematics Subject Classification ID: 47L35
zbMATH DE Number: 2026901
zbMATH Keywords: linear preservers
zbMATH Keywords: nest algebras
MaRDI profile type: Publication
full work available at URL: j.laa.2003.08.017
OpenAlex ID: W2022378144
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DOI: 10.1016/J.LAA.2003.08.017
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description: scientific article; zbMATH DE number 2026901