Majorization on \(\ell^\infty\) and on its closed linear subspace \(\mathfrak c\), and their linear preservers
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Publication:448385
DOI10.1016/j.laa.2012.06.006zbMath1259.15041OpenAlexW2035472038MaRDI QIDQ448385
J. Herrera, D. Rodríguez-Gómez
Publication date: 6 September 2012
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2012.06.006
Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Banach sequence spaces (46B45) Stochastic matrices (15B51) Linear preserver problems (15A86)
Related Items (7)
Weak supermajorization and families as doubly superstochastic operators on \(\ell^{p}(I)\) ⋮ DSS-weak majorization and its linear preservers on spaces ⋮ Weak majorization and doubly substochastic operators on \(\ell^p(I)\) ⋮ 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 ⋮ Linear preservers of weak majorization on \(\ell^{p}(I)^{+}\), when \(p\in (1,\infty)\)
Cites Work
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- Linear preservers of majorization on \(\ell^{p}(I)\)
- An infinite dimensional Schur-Horn theorem and majorization theory
- Majorization, doubly stochastic matrices, and comparison of eigenvalues
- Matrix majorization
- Majorizations and inequalities in matrix theory
- The Schur-Horn theorem for operators and frames with prescribed norms and frame operator
- Weak matrix majorization
- Constructing frames for finite dimensional Hilbert spaces
- Majorization and distances in trees
- Inequalities: theory of majorization and its applications
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