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A converse to a theorem of Komlós for convex subsets of \(L_ 1\)

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Publication:811609
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DOI10.2140/pjm.1993.159.75zbMath0739.46017OpenAlexW2092173293MaRDI QIDQ811609

Chris Lennard

Publication date: 1993

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

Full work available at URL: https://doi.org/10.2140/pjm.1993.159.75


zbMATH Keywords

Komlós theoremsequence of norm- bounded random variablessubsequence version of the strong law of large numberssuccessive arithmetic means


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) Strong limit theorems (60F15) (L^p)-limit theorems (60F25)


Related Items

A version of Komlós theorem for additive set functions ⋮ Komlós properties in Banach lattices ⋮ Uo-convergence and its applications to Cesàro means in Banach lattices ⋮ Convex Komlós sets in Banach function spaces



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