ORDER PRESERVING MAPS ON HERMITIAN MATRICES

DOI10.1017/S1446788713000104zbMath1283.15084MaRDI QIDQ2866895

Peter Šemrl, Ahmed Ramzi Sourour

Publication date: 10 December 2013

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Hermitian matricesorder preserving mapscongruence transformationsinvariance of domain theorem

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Linear preserver problems (15A86)

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Cites Work

• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Comparability preserving maps on bounded observables
• Order-automorphisms of the set of bounded observables
• Adjacency Preserving Maps on Hermitian Matrices

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