Isotonic linear operators on the space of all convergent real sequences

DOI10.1016/j.laa.2016.06.005zbMath1351.47029OpenAlexW2414647311MaRDI QIDQ739125

Noha Eftekhari, Ali Bayati Eshkaftaki

Publication date: 17 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2016.06.005

zbMATH Keywords

linear preserverconvex equivalentconvex majorizationisotonic operator

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60)

Related Items (8)

Unnamed Item ⋮ Characterization of strong preserver operators of convex equivalent on the space of all real sequences tend to zero ⋮ Weak supermajorization and families as doubly superstochastic operators on \(\ell^{p}(I)\) ⋮ Linear preservers of weak majorization on \(\ell^{1}(I)^{+}\), when \(I\) is an infinite set ⋮ 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 ⋮ Characterization of linear preservers of generalized majorization on c0 ⋮ Increasable doubly substochastic matrices with application to infinite linear equations

Cites Work

• Linear preservers of majorization on \(\ell^{p}(I)\)
• Weak majorization and doubly substochastic operators on \(\ell^p(I)\)
• An infinite dimensional Schur-Horn theorem and majorization theory
• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• Convex majorization on discrete \(\ell^p\) spaces
• Extending a characterization of majorization to infinite dimensions
• The Structure of linear preservers of left matrix majorization on R^T
• Linear preservers of left matrix majorization
• Unnamed Item

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