Corpus ID: 119258666

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

  title={Interpolation and Fatou-Zygmund property for completely Sidon subsets of discrete groups},
  author={G. Pisier},
  journal={arXiv: Operator Algebras},
  • 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


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