Monotone matrix maps and Skolem-Noether theorem

DOI10.3103/S0027132212050075zbMath1271.15020OpenAlexW2081128250MaRDI QIDQ355241

M. A. Efimov

Publication date: 24 July 2013

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132212050075

zbMATH Keywords

group inversemonotone matrix mapsSkolem-Noether theorem

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48)

Cites Work

• On group inverses and the sharp order
• Partial orders based on outer inverses
• Some properties of matrix partial orderings
• 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
• Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability
• The natural partial order on a regular semigroup
• Linear preservers for matrix inequalities and partial orderings
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