$L_p$-Multipliers on Quantum Tori

Éric Ricard

$L_p$-Multipliers on Quantum Tori

Operator Algebras 2015-12-04 v1 Functional Analysis

Authors: Éric Ricard

Abstract

It was shown by Chen, Xu and Yin that completely bounded Fourier multipliers on noncommutative $L_p$ -spaces of quantum tori $\mathbb T^d_\theta$ do not depend on the parameter $\theta$ . We establish that the situation is somehow different for bounded multipliers. The arguments are based on transference from the commutative torus.

Keywords

fourier multipliers multiplier operators

Cite

@article{arxiv.1512.01142,
  title  = {$L_p$-Multipliers on Quantum Tori},
  author = {Éric Ricard},
  journal= {arXiv preprint arXiv:1512.01142},
  year   = {2015}
}

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