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

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

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 ran...

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Bibliographic Details
Main Authors:	Chooi, W. L., Lim, M. H.
Format:	Article
Published:	2001
Subjects:	QA Mathematics
Online Access:	http://shdl.mmu.edu.my/2703/

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