Extending a characterization of majorization to infinite dimensions

DOI10.1016/j.laa.2014.01.026zbMath1305.81030arXiv1405.2845OpenAlexW2020734830MaRDI QIDQ2512800

Sarah Plosker, Rajesh Pereira

Publication date: 30 January 2015

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

Full work available at URL: https://arxiv.org/abs/1405.2845

zbMATH Keywords

Dirichlet seriesmajorizationcompletely monotone functionsMellin transformationsentanglement-assisted local transformation

Mathematics Subject Classification ID

Quantum computation (81P68) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (14)

Unnamed Item ⋮ Weak supermajorization and families as doubly superstochastic operators on \(\ell^{p}(I)\) ⋮ Majorization and semidoubly stochastic operators on \(L^1(X)\) ⋮ DSS-weak majorization and its linear preservers on spaces ⋮ Some properties of operators preserving convex majorization on discrete \(\ell^p\) 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 ⋮ Semi-doubly stochastic operators and majorization of integrable functions ⋮ Quasi doubly stochastic operator on l1 and Nielsen’s theorem ⋮ 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 ⋮ 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
• Catalytic majorization and \(\ell_p\) norms
• An infinite dimensional version of the Schur-Horn convexity theorem
• Dirichlet polynomials, majorization, and trumping
• Entanglement-Assisted Local Manipulation of Pure Quantum States
• Catalytic transformations for bipartite pure states
• Inequalities: theory of majorization and its applications

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