Polynomial approximation of quantum Lipschitz functions

Konrad Aguilar; Jens Kaad; David Kyed

Polynomial approximation of quantum Lipschitz functions

Department of Mathematics and Computer Science

Research output: Contribution to journal › Journal article › Research

Abstract

We prove an approximation result for Lipschitz functions on the quantum sphere S²_q, from which we deduce that the two natural quantum metric structures on S²_q have quantum Gromov-Hausdorff distance zero.

Original language	English
Journal	arxiv.org
Number of pages	18
Publication status	Published - 9. Apr 2021

Documents & Links

https://arxiv.org/pdf/2104.04317

Cite this

@article{30f4cbda6ca04b99bf4b50bbfaa6b6df,

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 = "math.OA",

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

note = "18 pages",

year = "2021",

month = apr,

day = "9",

language = "English",

journal = "arxiv.org",

}

TY - JOUR

T1 - Polynomial approximation of quantum Lipschitz functions

AU - Aguilar, Konrad

AU - Kaad, Jens

AU - Kyed, David

N1 - 18 pages

PY - 2021/4/9

Y1 - 2021/4/9

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 - math.OA

M3 - Journal article

JO - arxiv.org

JF - arxiv.org

ER -

Polynomial approximation of quantum Lipschitz functions

Abstract

Documents & Links

Fingerprint

Cite this