Spectral Gap Properties of the Unitary Groups: Around Rider’s Results on Non-commutative Sidon Sets

DOI10.1007/978-3-319-59078-3_21zbMath1436.43006arXiv1607.05674OpenAlexW2488259518MaRDI QIDQ4612140

Gilles Pisier

Publication date: 22 January 2019

Published in: 50 Years with Hardy Spaces (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.05674

zbMATH Keywords

irreducible representationspectral gaprandom matrix theoryrandom Fourier seriesSidon set

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Unitary representations of locally compact groups (22D10)

Related Items

Paley's inequality for discrete groups

Cites Work

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• A noncommutative martingale convexity inequality
• Interpolation and Sidon sets for compact groups
• Regularity of Gaussian processes
• On the structure of Sidon sets
• Sidon sets and Riesz products
• Entropy numbers of diagonal operators with an application to eigenvalue problems
• Randomly continuous functions and Sidon sets
• An example of a non nuclear C*-algebra, which has the metric approximation property
• The \(\varepsilon\)-entropy of some compact subsets of l\(^p\)
• Sidonicity and variants of Kaczmarz's problem
• On uniformly bounded orthonormal Sidon systems
• A theorem of Littlewood and lacunary series for compact groups
• The \(L_ p\) spaces
• Lacunary Fourier series on compact Lie groups
• A theorem on random Fourier series on noncommutative groups
• Central lacunary sets
• Free Random Variables
• Topologies of group algebras and a theorem of Littlewood
• Post-classification version of Jordan's theorem on finite linear groups
• Optimal Constants in Khintchine Type Inequalities for Fermions, Rademachers and q-Gaussian Operators
• The best constant in the Khintchine inequality for complex Steinhaus variables, the case p=1
• On the best constants in the Khinchin inequality
• Random Fourier Series with Applications to Harmonic Analysis. (AM-101)
• The best constants in the Khintchine inequality
• Mesures ε-idempotentes de norme bornée
• Multipliers and Lacunary Sets in Non-Amenable Groups
• On Λ(p) Sets with Minimal Constant in Discrete Noncommutative Groups
• A characterization of the Leinert property
• Arithmetic characterizations of Sidon sets
• Grothendieck’s Theorem, past and present
• Upper and Lower Bounds for Stochastic Processes
• Central Sidon and central ∧_p sets
• On Jordan's theorem for complex linear groups
• Representation Theory
• Local \(\Lambda\) sets for profinite groups