On averaging of rearrangement invariant ideals of the space \(L^{1} (\Omega , \Sigma , \mu )\) by non-atomic \(\sigma \)-subalgebras of \(\Sigma \)

DOI10.1007/s11117-010-0058-8zbMath1216.46027OpenAlexW2065100822MaRDI QIDQ987444

Alexander A. Mekler

Publication date: 13 August 2010

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-010-0058-8

zbMATH Keywords

mathematical expectation operatornon-atomic \(\sigma\)-subalgebrarearrangement invariant ideal

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)

Related Items (1)

Symmetric spaces of measurable functions: some new and old advances

Cites Work

• On rearrangement invariant and majorant hulls of averages of rearrangement invariant and majorant ideals
• Orbits of L 1 -Functions Under Doubly Stochastic Transformation
• Contractive projections and prediction operators
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