Weak majorization and doubly substochastic operators on \(\ell^p(I)\)

DOI10.1016/j.laa.2015.08.020zbMath1353.47074OpenAlexW1259866067MaRDI QIDQ498322

Martin Z. Ljubenović

Publication date: 28 September 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.2015.08.020

zbMATH Keywords

partial permutationweak majorizationrow, column and doubly substochastic operators

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Stochastic matrices (15B51)

Related Items (11)

Unnamed Item ⋮ Weak supermajorization and families as doubly superstochastic operators on \(\ell^{p}(I)\) ⋮ DSS-weak majorization and its linear preservers on spaces ⋮ Linear preservers of weak majorization on \(\ell^{1}(I)^{+}\), when \(I\) is an infinite set ⋮ Doubly (sub)stochastic operators on \(\ell^p\) 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 ⋮ Isotonic linear operators on the space of all convergent real sequences ⋮ Generalized Kakutani’s conjecture for doubly stochastic operators ⋮ Characterization of two-sided order preserving of convex majorization on lp(I) ⋮ Linear preservers of weak majorization on \(\ell^{p}(I)^{+}\), when \(p\in (1,\infty)\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some majorization inequalities in Euclidean Jordan algebras
• Linear preservers of majorization on \(\ell^{p}(I)\)
• Majorization on \(\ell^\infty\) and on its closed linear subspace \(\mathfrak c\), and their linear preservers
• Majorization in Euclidean geometry and beyond
• An infinite dimensional Schur-Horn theorem and majorization theory
• On a convex set of matrices
• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• An infinite dimensional version of the Schur-Horn convexity theorem
• Convex majorization on discrete \(\ell^p\) spaces
• The Schur-Horn theorem for operators and frames with prescribed norms and frame operator
• Extending a characterization of majorization to infinite dimensions
• Topological properties of the set of preservers of majorization
• Matrix Analysis
• Inequalities: theory of majorization and its applications
• Matrix inequalities

This page was built for publication: Weak majorization and doubly substochastic operators on \(\ell^p(I)\)