Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 63-68 |
| Number of pages | 6 |
| Journal | Kyushu Journal of Mathematics |
| Volume | 69 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2015 |
Keywords
- Infinite triangular matrices
- Linear preserver problem
- Minimal rank
ASJC Scopus subject areas
- General Mathematics
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