Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability

I. I. Bogdanov; A. È Guterman

doi:10.1070/sm2007v198n01abeh003826

Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability

I. I. Bogdanov
, A. È Guterman

Lomonosov Moscow State University

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Sbornik Mathematics
Volume	198
Issue number	1-2
DOIs	https://doi.org/10.1070/sm2007v198n01abeh003826
State	Published - 2007
Externally published	Yes

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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.",

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doi = "10.1070/sm2007v198n01abeh003826",

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Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability

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