The averaging operator with respect to a countable partition on a minimal symmetric ideal of the space \(L^ 1(0,1)\)

DOI10.1007/BF01839609zbMath0612.46028MaRDI QIDQ1088120

Alexander A. Mekler

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

conditional expectation operatorcountable partitionminimal symmetric 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) Probability theory on linear topological spaces (60B11)

Related Items (2)

Supplement to the paper ``The averaging operator with respect to a countable partition on a minimal symmetric ideal of the space \(L^ 1(0,1)\) ⋮ On rearrangement invariant and majorant hulls of averages of rearrangement invariant and majorant ideals

Cites Work

• Majorants in Spaces of Integrable Functions
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