Random Fourier series with respect to a general orthonormal system in \(L_ \infty (\mu)\) spaces

DOI10.1007/BF01297768zbMath0859.46020OpenAlexW1998095352MaRDI QIDQ1924474

C. Samuel

Publication date: 20 October 1996

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178740

zbMATH Keywords

random unconditional convergence\(L_ \infty(\mu)\) spacesFourier series with respect to general orthonormal systems

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

Cites Work

• L'espace usuel C ne possède aucun R.U.C-système orthonormé. (The usual space C doesn't have an orthonormal R.U.C-system)
• Produits tensoriels topologiques et espaces nucléaires
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