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Rank-1 preservers on Hessenberg matrices.

Authors :
Khachorncharoenkul, P.
Pianskool, S.
Source :
Linear & Multilinear Algebra; Jan2014, Vol. 62 Issue 1, p96-113, 18p
Publication Year :
2014

Abstract

Letbe the space of allupper Hessenberg matrices over a fieldwhereis a positive integer greater than. In this paper, linear maps preserving rank-onare characterized, i.e.is a linear rank-preserver onif and only if (i)is an-dimensional rank-subspace or (ii) there exist nonsingular upper Hessenberg matricesandsuch thatfor allorfor allwherewith. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
LINEAR operators
MATRICES (Mathematics)
POSITIVE operators
DIMENSIONAL analysis
SUBSPACES (Mathematics)
MATHEMATICAL analysis

Details

Language :
English
ISSN :
03081087
Volume :
62
Issue :
1
Database :
Complementary Index
Journal :
Linear & Multilinear Algebra
Publication Type :
Academic Journal
Accession number :
93803415
Full Text :
https://doi.org/10.1080/03081087.2013.764495
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