On Λ() sets with minimal constant in discrete noncommutative groups
Marek Bożejko
- Vol. 51, Iss: 2, pp 407-412
TLDR
In this article, the minimal constants for infinite A(2n) sets in discrete noncommutative groups were computed and an alternate proof of Leinert's theorem on A(o) sets was obtained.Abstract:
We compute the minimal constants for infinite A(2n) sets in discrete noncommutative groups and as a consequence we obtain an alternate proof of Leinert's theorem on A(o) sets.read more
Citations
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Fourier analysis, Schur multipliers on $S^p$ and non-commutative Λ(p)-sets
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Computing norms of free operators with matrix coefficients
TL;DR: A formula for norms of operators of the form Σ ai ⊗ λ(g) where a and a are complex matrices or operators is derived similarly to the formula of Akemann and Ostrand for the scalar case to compute norms of arbitrary finitely supported convolution operators on the free group.
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Free Exponential Families as Kernel Families
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Norm of convolution by operator-valued functions on free groups
TL;DR: In this paper, a connection between the Leinert sets and the noncrossing two-partitions is made, which is used to give a simple proof of the free Khintchine inequality in discrete non-commutative Lp-spaces.
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