Corpus ID: 119258666

Interpolation and Fatou-Zygmund property for completely Sidon subsets of discrete groups

@article{Pisier2017InterpolationAF,
  title={Interpolation and Fatou-Zygmund property for completely Sidon subsets of discrete groups},
  author={G. Pisier},
  journal={arXiv: Operator Algebras},
  year={2017}
}
  • G. Pisier
  • Published 2017
  • Mathematics
  • arXiv: Operator Algebras
  • A subset of a discrete group $G$ is called completely Sidon if its span in $C^*(G)$ is completely isomorphic to the operator space version of the space $\ell_1$ (i.e. $\ell_1$ equipped with its maximal operator space structure). We recently proved a generalization to this context of Drury's classical union theorem for Sidon sets: completely Sidon sets are stable under finite unions. We give a different presentation of the proof emphasizing the "interpolation property" analogous to the one Drury… CONTINUE READING

    References

    SHOWING 1-10 OF 60 REFERENCES
    Lacunary Fourier Series for Compact Quantum Groups
    • 18
    • PDF
    Completely Sidon sets in $$C^*$$C∗-algebras
    • 1
    Multipliers and lacunary sets in non-amenable groups
    • 40
    • PDF
    Interpolation and Sidon Sets for Compact Groups
    • 29
    The Fatou-Zygmund property for Sidon sets
    • 14
    • Highly Influential
    • PDF
    Spectral Gap Properties of the Unitary Groups: Around Rider’s Results on Non-commutative Sidon Sets
    • 4
    • PDF
    On uniformly bounded orthonormal Sidon systems
    • 10
    • PDF
    Fourier analysis, Schur multipliers on $S^p$ and non-commutative Λ(p)-sets
    • 53
    • Highly Influential
    • PDF
    A Note on L-sets
    • 2
    • PDF