Abstract
Bijective linear transformations of the matrix algebra over an arbitrary field that preserve simultaneous diagonalizability are characterized. This result is used for the characterization of bijective linear transformations monotone with respect to the <#- and <cn-orders.
Original language | English |
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Pages (from-to) | 1-16 |
Number of pages | 16 |
Journal | Sbornik Mathematics |
Volume | 198 |
Issue number | 1-2 |
DOIs | |
State | Published - 2007 |
Externally published | Yes |