Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability

I. I. Bogdanov, A. È Guterman

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 languageEnglish
Pages (from-to)1-16
Number of pages16
JournalSbornik Mathematics
Volume198
Issue number1-2
DOIs
StatePublished - 2007
Externally publishedYes

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