Abstract
We consider three linear preserver problems on the algebra of infinite triangular matrices over fields. We characterize the maps preserving invertible and noninvertible matrices, the surjective maps preserving inverses and the surjective maps preserving rank permutability.
| Original language | English |
|---|---|
| Pages (from-to) | 672-694 |
| Number of pages | 23 |
| Journal | Linear and Multilinear Algebra |
| Volume | 63 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 3 Apr 2015 |
Keywords
- infinite triangular matrices
- invertibility preservers
- linear preserver problem
- rank permutability preservers
ASJC Scopus subject areas
- Algebra and Number Theory
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