Random unconditional convergence and divergence in Banach spaces close to \(L^1\)

DOI10.1007/s13163-017-0249-yzbMath1405.46012OpenAlexW2768045071MaRDI QIDQ1635697

Guillermo P. Curbera, Serguei V. Astashkin

Publication date: 1 June 2018

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-017-0249-y

zbMATH Keywords

Schauder basisrearrangement invariant spaceHaar functionsrandom unconditional convergenceCesàro spaces

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)

Cites Work

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• Abstract Cesàro spaces: integral representations
• Structure of Cesàro function spaces
• On the existence of RUC systems in rearrangement invariant spaces
• Bases of random unconditional convergence in Banach spaces
• On the geometric properties of Cesàro spaces
• Weakly null sequences in 𝐿₁
• RUC-systems and Besselian systems in Banach spaces
• Cesàro function spaces fail the fixed point property
• On the best constants in the Khinchin inequality
• On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
• RUC systems in rearrangement invariant spaces
• Existence of some special bases in Banach spaces