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

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We prove an approximation result for Lipschitz functions on the quantum sphere Sq2​, from which we deduce that the two natural quantum metric structures on Sq2​ have quantum Gromov-Hausdorff distance zero.
DOI : 10.4171/dm/884
Classification : 46L30, 46L89, 81R15, 81R60
Mots-clés : spectral triples, quantum metric spaces, fuzzy spheres, Podleś sphere, Berezin transform, quantum Gromov-Hausdorff distance 
Konrad Aguilar; Jens Kaad; David Kyed. Polynomial approximation of quantum Lipschitz functions. Documenta mathematica, Tome 27 (2022), pp. 765-787. doi: 10.4171/dm/884
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     author = {Konrad Aguilar and Jens Kaad and David Kyed},
     title = {Polynomial approximation of quantum {Lipschitz} functions},
     journal = {Documenta mathematica},
     pages = {765--787},
     year = {2022},
     volume = {27},
     doi = {10.4171/dm/884},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/884/}
}
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