\(B\)-majorization and its linear preservers

DOI10.1016/j.laa.2015.03.036zbMath1312.15002OpenAlexW2033088280MaRDI QIDQ2347475

Mohammad Ali Hadian Nadoshan, Ali Armandnejad

Publication date: 27 May 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.03.036

zbMATH Keywords

linear preserverdoubly stochastic matrix\(B\)-majorization

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items (12)

Weak supermajorization and families as doubly superstochastic operators on \(\ell^{p}(I)\) ⋮ Singular linear preservers of majorization and cone type majorization ⋮ Linear maps preserving signed permutation and substochastic matrices ⋮ Linear preservers of D-majorization ⋮ Linear preservers of weak majorization on \(\ell^{1}(I)^{+}\), when \(I\) is an infinite set ⋮ Alternating sign matrices, extensions and related cones ⋮ Unnamed Item ⋮ Linear preservers of Hadamard majorization ⋮ Linear preservers of row-dense matrices ⋮ Strong local linear preservers of multivariate majorization ⋮ Generalized doubly stochastic matrices and linear preservers of D-majorization ⋮ Linear preservers of weak majorization on \(\ell^{p}(I)^{+}\), when \(p\in (1,\infty)\)

Cites Work

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• Schur-Ostrowski type theorems revisited
• Subgroup majorization.
• Linear preservers of even majorization on M_n,m
• The Structure of linear preservers of left matrix majorization on R^T
• The structure of linear operators strongly preserving majorizations of matrices
• Inequalities: theory of majorization and its applications
• Linear maps preserving group majorization

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