Monotone maps on diagonalizable matrices

Mikhail A. Efimov, Alexander E. Guterman

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We characterize injective maps preserving ≤#-order and maps strongly preserving <#-order on the set of diagonalizable matrices.

Original languageEnglish
Pages (from-to)1441-1452
Number of pages12
JournalMathematical Inequalities and Applications
Volume17
Issue number4
DOIs
StatePublished - 1 Oct 2014
Externally publishedYes

Bibliographical note

Publisher Copyright:
© Element.

Keywords

  • Group inverse
  • Monotone matrix transformations
  • Sharp partial order

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