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Preservers of pairs of bivectors with bounded distance

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 th...

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Main Authors: Lim, Ming-Huat, Tan, Joshua Juat-Huan
Format: Article
Published: Elsevier 2009
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://library.oum.edu.my/repository/284/
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spelling my.oum.2842013-05-27T05:48:19Z Preservers of pairs of bivectors with bounded distance Lim, Ming-Huat Tan, Joshua Juat-Huan QA75 Electronic computers. Computer science 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) Elsevier 2009 Article PeerReviewed 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 http://library.oum.edu.my/repository/284/
institution Open University Malaysia
building OUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Open University Malaysia
content_source OUM Knowledge Repository
url_provider http://library.oum.edu.my/repository/
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Lim, Ming-Huat
Tan, Joshua Juat-Huan
Preservers of pairs of bivectors with bounded distance
description 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)
format Article
author Lim, Ming-Huat
Tan, Joshua Juat-Huan
author_facet Lim, Ming-Huat
Tan, Joshua Juat-Huan
author_sort Lim, Ming-Huat
title Preservers of pairs of bivectors with bounded distance
title_short Preservers of pairs of bivectors with bounded distance
title_full Preservers of pairs of bivectors with bounded distance
title_fullStr Preservers of pairs of bivectors with bounded distance
title_full_unstemmed Preservers of pairs of bivectors with bounded distance
title_sort preservers of pairs of bivectors with bounded distance
publisher Elsevier
publishDate 2009
url http://library.oum.edu.my/repository/284/
_version_ 1644308934007193600
score 13.209306

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