creators_name: Lim, Ming-Huat 
creators_name: Tan, Joshua Juat-Huan 
type: article
datestamp: 2009-10-29 08:38:15
lastmod: 2013-05-27 05:48:19
metadata_visibility: show
corp_creators: University of Malaya
corp_creators: Open University Malaysia
title: Preservers of pairs of bivectors with bounded distance
ispublished: pub
subjects: QA75
full_text_status: none
keywords: Adjacency preserving mappings ; Second exterior powers ; Arithmetic distance ; Alternate matrices
abstract: We extend Liu's fundamental theorem of the geometry of alternate
matrices to the second exterior power of an infinite dimensional
vector space and also use her theorem to characterize surjective
mappings T from the vector space V of all n x n alternate matrices
over a field with at least three elements onto itself such that for any
pair A,B in V,rank(A - B) <= 2k if and only if rank(T(A) - T(B)) <=2k,
where k is a fixed positive integer such that n >= 2k + 2 and k >= 2. (Authors' abstract)
date: 2009
date_type: published
publication: Linear Algebra and its Applications
number: 430
publisher: Elsevier
pagerange: 564-573
refereed: TRUE
issn: 0024-3795
citation:   Lim, Ming-Huat  and Tan, Joshua Juat-Huan   (2009) Preservers of pairs of bivectors with bounded distance.  Linear Algebra and its Applications (430).  pp. 564-573.  ISSN 0024-3795