Random series in $L^p(X,\Sigma,\mu)$ using unconditional basic sequences and $l^p$ stable sequences: A result on almost sure almost everywhere convergence

DOI10.1090/S0002-9939-07-08870-3zbMath1125.46012OpenAlexW1505796316MaRDI QIDQ5308124

Juan Miguel Medina, Bruno Cernuschi-Frías

Publication date: 27 September 2007

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08870-3

zbMATH Keywords

almost sure convergencerandom seriesunconditional basic sequence

Mathematics Subject Classification ID

Probabilistic methods in Banach space theory (46B09) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Probability theory on linear topological spaces (60B11)

Cites Work

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• Stochastic convergence of weighted sums of random elements in linear spaces
• Wavelets as unconditional bases in \(L_p(\mathbb{R})\)
• Classical Banach spaces
• A Note on Unconditionally Converging Series in L p
• Unconditional basic sequence in $L^p(\mu )$ and its $l^p$-stability

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