The Kadec-Pełczyński theorem in $L^p$, $1\le p<2$

DOI10.1090/proc/12872zbMath1352.46012arXiv1506.07453OpenAlexW2900658547MaRDI QIDQ2790921

Robert F. Tichy, István Berkes

Publication date: 8 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07453

zbMATH Keywords

Schauder basesunit vector basisspaces \(L_p\)Kadec-Pełczyński theoremnormalized weakly null sequences

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Probabilistic methods in Banach space theory (46B09)

Related Items (1)

On the Uniform Theory of Lacunary Series

Cites Work

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• Almost exchangeable sequences of random variables
• Bases, lacunary sequences and complemented subspaces in the spaces $L_{p}$
• Limit theorems for subsequences of arbitrarily-dependent sequences of random variables
• On the concentration function of a sum of independent random variables
• Relations between Weak and Uniform Convergence of Measures with Applications

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