Spectral order preserving operators and rearrangement theorems

DOI10.1016/0022-247X(91)90334-VzbMath0753.28003OpenAlexW2081020431MaRDI QIDQ1189675

Kong-Ming Chong

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90334-v

zbMATH Keywords

spectral orderHardy-Littlewood preorderHardy-Littlewood-Pólya theoremnon-increasing rearrangement of measurable function

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Integration with respect to measures and other set functions (28A25) Linear operators on function spaces (general) (47B38) Inequalities for sums, series and integrals (26D15)

Cites Work

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• Doubly stochastic operators and rearrangement theorems
• Some Extensions of a Theorem of Hardy, Littlewood and Pólya and Their Applications
• Spectral Order Preserving Matrices and Muirhead's Theorem
• Orbits of L 1 -Functions Under Doubly Stochastic Transformation
• Extreme Points of Some Convex Subsets of L 1 (0, 1)
• Spectral Orders, Uniform Integrability and Lebesgue's Dominated Convergence Theorem

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