Polynomial approximation of quantum Lipschitz functions

Konrad Aguilar; Jens Kaad; David Kyed

doi:10.25537/dm.2022v27.765-787

Polynomial approximation of quantum Lipschitz functions

Konrad Aguilar^*
, Jens Kaad
, David Kyed

^*Kontaktforfatter

Institut for Matematik og Datalogi

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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Abstract

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.

Originalsprog	Engelsk
Tidsskrift	Documenta Mathematica
Vol/bind	27
Sider (fra-til)	765-787
ISSN	1431-0635
DOI	https://doi.org/10.25537/dm.2022v27.765-787
Status	Udgivet - 2022

Bibliografisk note

18 pages

Dokumenter og links

10.25537/dm.2022v27.765-787Licens: CC BY

Open Access VersionForlagets udgivne version, 281 KBLicens: CC BY

https://arxiv.org/pdf/2104.04317

SDU link

Tjek adgangen til materialet i Syddansk Universitetsbiblioteks søgemaskine

Citationsformater

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title = "Polynomial approximation of quantum Lipschitz functions",

abstract = "We prove an approximation result for Lipschitz functions on the quantum sphere S2q, from which we deduce that the two natural quantum metric structures on S2q have quantum Gromov-Hausdorff distance zero.",

keywords = "Berezin transform, Podle{\'s} sphere, Quantum metric spaces, fuzzy spheres, quantum GromovHausdorﬀ distance, spectral triples",

author = "Konrad Aguilar and Jens Kaad and David Kyed",

note = "18 pages",

year = "2022",

doi = "10.25537/dm.2022v27.765-787",

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T1 - Polynomial approximation of quantum Lipschitz functions

AU - Aguilar, Konrad

AU - Kaad, Jens

AU - Kyed, David

N1 - 18 pages

PY - 2022

Y1 - 2022

N2 - We prove an approximation result for Lipschitz functions on the quantum sphere S2q, from which we deduce that the two natural quantum metric structures on S2q have quantum Gromov-Hausdorff distance zero.

AB - We prove an approximation result for Lipschitz functions on the quantum sphere S2q, from which we deduce that the two natural quantum metric structures on S2q have quantum Gromov-Hausdorff distance zero.

KW - Berezin transform

KW - Podleś sphere

KW - Quantum metric spaces

KW - fuzzy spheres

KW - quantum GromovHausdorﬀ distance

KW - spectral triples

U2 - 10.25537/dm.2022v27.765-787

DO - 10.25537/dm.2022v27.765-787

M3 - Journal article

SN - 1431-0635

VL - 27

SP - 765

EP - 787

JO - Documenta Mathematica

JF - Documenta Mathematica

ER -

Polynomial approximation of quantum Lipschitz functions

Abstract

Bibliografisk note

Dokumenter og links

SDU link

Fingeraftryk

Citationsformater