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math.OA2021
Polynomial approximation of quantum Lipschitz functions
Konrad Aguilar, Jens Kaad, David Kyed
We prove an approximation result for Lipschitz functions on the quantum sphere , from which we deduce that the two natural quantum metric structures on have quantum…
math.OA2021★ 14 cited
The Podles spheres converge to the sphere
Konrad Aguilar, Jens Kaad, David Kyed
We prove that the Podles spheres converge in quantum Gromov-Hausdorff distance to the classical 2-sphere as the deformation parameter tends to 1. Moreover, we construct…
math.OA2021★ 2 cited
Kernels of Hilbert Module Maps: A Counterexample
Jens Kaad, Michael Skeide
Answering a long standing question, we give an example of a Hilbert module and a nonzero bounded right linear map having a kernel with trivial orthogonal complement. In particular,…