Linear maps which preserve or strongly preserve weak majorization

DOI10.1155/2007/82910zbMath1142.15005OpenAlexW2035100848WikidataQ59216356 ScholiaQ59216356MaRDI QIDQ2471985

Ahmad Mohammad Hasani, Mohammad Ali Vali

Publication date: 19 February 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129133

zbMATH Keywords

nonnegative matrixweak majorizationlinear mappingmajorization preserving mapping

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Linear transformations, semilinear transformations (15A04)

Related Items (7)

Unnamed Item ⋮ Linear preservers of ultraweak, row, and weakly Hadamard majorization on \(M_{mn}\) ⋮ DSS-weak majorization and its linear preservers on spaces ⋮ Linear preservers of weak majorization on \(\ell^{1}(I)^{+}\), when \(I\) is an infinite set ⋮ Fréchet phase space for nonlinear infinite delay equations in Banach spaces ⋮ Linear preservers of DSS-weak majorization on discrete Lebesgue space , when I is an infinite set ⋮ Submajorization on \(\ell^p(I)^+\) determined by increasable doubly substochastic operators and its linear preservers

Cites Work

• On linear preservers of (right) matrix majorization
• Similarity preserving linear maps on matrices
• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• Matrix majorization
• A characterization of strong preservers of matrix majorization
• Linear operators preserving multivariate majorization
• RESOLUTION OF THE CONJECTURE ON STRONG PRESERVERS OF MULTIVARIATE MAJORIZATION
• Linear operators preserving directional majorization

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