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

DOI10.1016/j.laa.2019.11.003zbMath1445.15019OpenAlexW2987176838WikidataQ126863350 ScholiaQ126863350MaRDI QIDQ2174406

Janko Marovt, Burcu Ungor, Abdullah Harmanci, Sait Halıcıoglu, Bojan Kuzma, Gregor Dolinar

Publication date: 21 April 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.11.003

zbMATH Keywords

matrix algebraMoore-Penrose inversegeneral preserverright-star orderleft-star order

Mathematics Subject Classification ID

Partial orders, general (06A06) Theory of matrix inversion and generalized inverses (15A09) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Related Items (5)

One-sided star partial order preservers on B(H) ⋮ Further results on strongly core orthogonal matrix ⋮ 1MP and MP1 inverses and one-sided star orders in a ring with involution ⋮ Wg-Drazin-star operator and its dual ⋮ A note on star partial order preservers on the set of all variance-covariance matrices

Cites Work

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• Left-star and right-star partial orderings
• An elementary proof of the fundamental theorem of projective geometry
• Automorphisms of \(M_{n}\), partially ordered by rank subtractivity ordering
• Monotone additive matrix transformations
• Transformations on tensor spaces
• LINEAR PRESERVERS FOR DRAZIN STAR PARTIAL ORDER
• Automorphisms of Mn, partially ordered by the star order
• Natural structures on semigroups with involution
• Monotone transformations on B(H) with respect to the left-star and the right-star partial order

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