Monotone additive matrix transformations
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Publication:2473746
DOI10.1134/S0001434607050057zbMath1139.15001MaRDI QIDQ2473746
Publication date: 4 March 2008
Published in: Mathematical Notes (Search for Journal in Brave)
partially ordered setmonotone transformationLöwner orderdiamond ordermatrix partial orderadditive transformationsDrazin orderHartwig order
Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)
Related Items (7)
One-sided star partial order preservers on B(H) ⋮ 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 ⋮ Maps preserving the diamond partial order ⋮ On mappings preserving the sharp and star orders ⋮ Monotone linear transformations on matrices over semirings ⋮ Preservers of partial orders on the set of all variance-covariance matrices
Cites Work
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- Additive preservers of rank-additivity on matrix spaces
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- Left-star and right-star partial orderings
- A further algebraic version of Cochran's theorem and matrix partial orderings
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- Hua's fundamental theorem of the geometry of matrices.
- Additive mappings decreasing rank one
- Automorphisms of \(M_{n}\), partially ordered by rank subtractivity ordering
- Automorphisms of the poset of skew projections
- Linear transformations which preserve Hermitian and positive semidefinite operators
- LINEAR PRESERVERS FOR DRAZIN STAR PARTIAL ORDER
- Automorphisms of Mn, partially ordered by the star order
- The natural partial order on a regular semigroup
- Natural structures on semigroups with involution
- Monotone Linear Transformations on Matrices Are Invertible
- Linear preservers for matrix inequalities and partial orderings
- Inter- and extrapolatory properties of matrix partial orderings
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