Preservers of the left-star and right-star partial orders

Dolinar G., HALICIOĞLU S., Harmanci A., Kuzma B., Marovt J., ÜNGÖR B.

LINEAR ALGEBRA AND ITS APPLICATIONS, vol.587, pp.70-91, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 587
  • Publication Date: 2020
  • Doi Number: 10.1016/j.laa.2019.11.003
  • Journal Name: LINEAR ALGEBRA AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, MathSciNet, zbMATH
  • Page Numbers: pp.70-91
  • Keywords: Left-star order, Right-star order, General preserver, Matrix algebra, Moore-Penrose inverse, M-N, AUTOMORPHISMS
  • Ankara University Affiliated: Yes

Abstract

Let M-n(F) be the set of all n x n matrices over the field F, where F = R or F = C. We characterize maps on M-n(F) which are surjective and preserve either the left-star or the right-star order in both directions, but are not necessarily additive. (C) 2019 Elsevier Inc. All rights reserved.