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