The distribution of non-commutative Rademacher series

DOI10.1007/BF01444500zbMath0826.60038arXivmath/9209212OpenAlexW2080537298MaRDI QIDQ1898135

Stephen J. Montgomery-Smith

Publication date: 22 November 1995

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

Full work available at URL: https://arxiv.org/abs/math/9209212

zbMATH Keywords

tail of the distributioninvariant spacesnon-commutative Rademacher series

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Free probability and free operator algebras (46L54) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (3)

On the range of \sum_{n=1}^\infty \pm c_n ⋮ The range of Rademacher series in \({\mathbb R}^d\) ⋮ OSCILLATORY PROPERTY AND DIMENSIONS OF RADEMACHER SERIES

Cites Work

• Rademacher series in symmetric spaces
• Domination inequality for martingale transforms of a Rademacher sequence
• On the distribution of Sidon series
• The distribution of vector-valued Rademacher series
• A theorem of Littlewood and lacunary series for compact groups
• The Distribution of Rademacher Sums
• Random Fourier Series with Applications to Harmonic Analysis. (AM-101)
• Interpolation of Quasi-Normed Spaces.
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