Automorphisms of Mn, partially ordered by the star order

DOI10.1080/03081080500209646zbMath1113.15003OpenAlexW2005227929MaRDI QIDQ3422749

Peter Legiša

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/03081080500209646

zbMATH Keywords

automorphismposetstar partial orderfull matrix algebra

Mathematics Subject Classification ID

Partial orders, general (06A06) Theory of matrix inversion and generalized inverses (15A09) Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Related Items (11)

Additive matrix maps that are monotone with respect to the orders induced by the group inverse ⋮ One-sided star partial order preservers on B(H) ⋮ Monotone maps on matrices of index one ⋮ Preservers of the left-star and right-star partial orders ⋮ A note on star partial order preservers on the set of all variance-covariance matrices ⋮ Star order automorphisms on the poset of type 1 operators ⋮ Star order on JBW algebras ⋮ Monotone additive matrix transformations ⋮ Minus partial order and linear preservers ⋮ Bimonotone maps on semiprime Banach algebras ⋮ Preservers of partial orders on the set of all variance-covariance matrices

Cites Work

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• Orthogonality preserving transformations on indefinite inner product spaces: Generalization of Uhlhorn's version of Wigner's theorem
• On some characterizations of pairwise star orthogonality using rank and dagger additivity and subtractivity
• LINEAR PRESERVERS FOR DRAZIN STAR PARTIAL ORDER
• Natural structures on semigroups with involution
• Linear algebra and linear models

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