Khinchin's inequality and the asymptotic behavior of the sums \(\sum \epsilon_ nx_ n\) in Banach lattices

DOI10.1007/BF01065056zbMath0711.60009MaRDI QIDQ923467

Ivan K. Matsak, Anatolij M. Plichko

Publication date: 1990

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Banach latticemartingale differencesRademacher sequenceMaurey-Khintchine inequality

Mathematics Subject Classification ID

Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (1)

On the law of the iterated logarithm for weighted sums of independent random variables in a Banach space

Cites Work

• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Geometry and probability in Banach spaces
• Central limit theorems and weak laws of large numbers in certain banach spaces
• On the limit theorems for random variables with values in the spaces L p (2?p<?)
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