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...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
2001
|
| Subjects: | |
| Online Access: | http://shdl.mmu.edu.my/2703/ |