Departmental Bulletin Paper LINEAR MINIMAL RANK PRESERVERS ON INFINITE TRIANGULAR MATRICES

Słowik, R

69 ( 1 )  , pp.63 - 68 , 2015-06-09 , Faculty of Mathematics, Kyushu University
ISSN:1340-6116
NCID:AA10994346
Description
We study the minimal rank of an infinite upper triangular matrix over a field. We characterize all linear maps on this space that preserve the minimal rank. Moreover, we give a partial solution to some open problems concerning this notion.

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