On the existence of RUC systems in rearrangement invariant spaces

DOI10.1002/mana.201400189zbMath1355.46015OpenAlexW1880280656MaRDI QIDQ2792247

Konstantin Tikhomirov, Guillermo P. Curbera, Serguei V. Astashkin

Publication date: 8 March 2016

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201400189

zbMATH Keywords

rearrangement invariant spacerandom unconditional convergence

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) Probabilistic methods in Banach space theory (46B09) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items

Random unconditional convergence and divergence in Banach spaces close to \(L^1\), Affine Walsh-type systems of functions in symmetric spaces

Cites Work

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• Rademacher functions in symmetric spaces
• RUC systems in rearrangement invariant spaces
• Order convexity and concavity of Lorentz spaces Λ_p,w, 0<p<∞