On separating the submajorization order into majorization and pointwise inequality

DOI10.1007/s00013-019-01367-wzbMath1439.46024OpenAlexW2957816878WikidataQ127530393 ScholiaQ127530393MaRDI QIDQ2328647

Andrzej J. Wrobel

Publication date: 10 October 2019

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-019-01367-w

zbMATH Keywords

nonincreasing rearrangementdoubly stochastic operatorsubmajorizationlower weak majorizationpositive-part extensionSchur-isotone function

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Statistical methods; risk measures (91G70) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Special classes of linear operators (47B99) Stochastic matrices (15B51)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Subdifferentials of convex symmetric functions: An application of the inequality of Hardy, Littlewood, and Pólya
• Doubly stochastic operators and rearrangement theorems
• A bibliographical note on a theorem of Hardy, Littlewood, and Polya
• The closedness of the free-disposal hull of a production set
• Stochastic orders and risk measures: consistency and bounds
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• Schur–Ostrowski Theorems for Functionals on $L_1 (0,1)$
• Some Extensions of a Theorem of Hardy, Littlewood and Pólya and Their Applications
• On an elementary characterization of the increasing convex ordering, by an application
• Spectral Order Preserving Matrices and Muirhead's Theorem
• The Existence of Probability Measures with Given Marginals
• Orbits of L 1 -Functions Under Doubly Stochastic Transformation
• Equimeasurability of functions and doubly stochastic operators
• Decreasing Rearrangements and Doubly Stochastic Operators
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
• Inequalities: theory of majorization and its applications