Rank-one nonincreasing mappings on triangular matrices and some related preserver problems

Chooi, W. L. and Lim, M. H. (2001) Rank-one nonincreasing mappings on triangular matrices and some related preserver problems. Linear and Multilinear Algebra, 49 (4). pp. 305-336. ISSN 0308-1087

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/0308108...

Abstract

Let T-n(F) be the algebra of all n x n upper triangular matrices over an arbitrary field F. We first characterize those rank-one nonincreasing mappings psi: T-n(F) --> T-m(F), n less than or equal to m such that psi (I-n) is of rank n. We next deduce from this result certain types of singular rank-one r-potent preservers and nonzero r-potent preservers on T-n(F). Characterizations of certain classes of homomorphisms and semi-homomorphisms on T-n(F) are also given.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering (FOE)
Depositing User: Ms Rosnani Abd Wahab
Date Deposited: 09 Sep 2011 02:45
Last Modified: 11 Nov 2013 05:03
URI: http://shdl.mmu.edu.my/id/eprint/2703

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