An extension of the Komlós subsequence theorem

DOI10.1007/BF01951392zbMath0724.60035OpenAlexW2063929349MaRDI QIDQ757976

István Berkes

Publication date: 1990

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01951392

zbMATH Keywords

almost sure convergenceexchangeable sequencepermutation of indices

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (11)

A note on the von Weizsäcker theorem ⋮ A version of Komlós theorem for additive set functions ⋮ A ``multiplicative coboundary theorem for some sequences of random matrices ⋮ A strong law of large numbers for positive random variables ⋮ Permutation-invariance in Komlós type theorem for non-negative random variables ⋮ A noncommutative generalisation of a problem of Steinhaus ⋮ AN L^p ‘COUSIN OF COBOUNDARY’ THEOREM FOR RANDOM FIELDS ⋮ On a theorem of K. Schmidt ⋮ Permutation invariant strong law of large numbers for exchangeable sequences ⋮ Unnamed Item ⋮ On permutation-invariance of limit theorems

Cites Work

• On almost symmetric sequences in \(L_ p\)
• Types et suites symétriques dans \(L^ p\), \(1\leq p<+\infty\), p\(\neq 2\). (Types and symmetric sequences in \(L^ p\), \(1\leq p<+\infty\), p\(\neq 2)\)
• Every sequence converging to 0 weakly in L\(_2\) contains an unconditional convergence sequence
• Almost exchangeable sequences of random variables
• Limit theorems for subsequences of arbitrarily-dependent sequences of random variables
• Symmetric structures in Banach spaces
• LACUNARY SERIES AND INDEPENDENT FUNCTIONS
• A generalization of a problem of Steinhaus
• Unnamed Item

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