Geodesic
Polynomial approximation of quantum Lipschitz functions
Documenta mathematica, Tome 27 (2022), pp. 765-787.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We prove an approximation result for Lipschitz functions on the quantum sphere $S_q^2$, from which we deduce that the two natural quantum metric structures on $S_q^2$ have quantum Gromov-Hausdorff distance zero.
Classification : 81, 41A10, 46L30, 46L89, 81R15, 81R60, 58B32
Keywords: quantum metric spaces, fuzzy spheres, Podleś sphere, Berezin transform, spectral triples, quantum Gromov-Hausdorff distance 
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     author = {Aguilar, Konrad and Kaad, Jens and Kyed, David},
     title = {Polynomial approximation of quantum {Lipschitz} functions},
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Aguilar, Konrad; Kaad, Jens; Kyed, David. Polynomial approximation of quantum Lipschitz functions. Documenta mathematica, Tome 27 (2022), pp. 765-787. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a47/