Rank-one nonincreasing additive mappings on second symmetric product spaces
type: Item
instance of: scholarly article
title: Rank-one nonincreasing additive mappings on second symmetric product spaces
zbMATH Open document ID: 1084.15008
author: Ming-Huat Lim
published in: Linear Algebra and its Applications
publication date: 2005-06-23T00:00:00Z
review text: The author characterizes the class of rank-\(k\) nonincreasing additive mappings on the symmetric matrices, for \(k=1\). The result is close to that assuming the preceding property for a general \(k\).
reviewed by: Jaroslav Zemánek
Mathematics Subject Classification ID: 15A04
Mathematics Subject Classification ID: 15A03
Mathematics Subject Classification ID: 15A69
zbMATH DE Number: 2182004
zbMATH Keywords: rank-\(k\) nonincreasing mappings
zbMATH Keywords: rank-\(k\) preservers
zbMATH Keywords: second symmetric product spaces
MaRDI profile type: Publication
full work available at URL: j.laa.2005.01.002
OpenAlex ID: W2080314857
cites work: Rank preservers on spaces of symmetric matrices
cites work: Additive rank-one preserving surjections on symmetric matrix spaces
cites work: Linear transformations on symmetric matrices II
cites work: Linear transformations of tensor products preserving a fixed rank
cites work: Linear transformations on symmetric matrices
cites work: Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one
cites work: Linear mappings which are rank-knonincreasing, II
cites work: Q3958591
DOI: 10.1016/J.LAA.2005.01.002
description: scientific article; zbMATH DE number 2182004