English

Smooth approximation of Lipschitz projections

Operator Algebras 2019-08-15 v2 Metric Geometry

Abstract

We show that any Lipschitz projection-valued function p on a connected closed Riemannian manifold can be approximated uniformly by smooth projection-valued functions q with Lipschitz constant close to that of p. This answers a question of Rieffel.

Keywords

Cite

@article{arxiv.0810.4695,
  title  = {Smooth approximation of Lipschitz projections},
  author = {Hanfeng Li},
  journal= {arXiv preprint arXiv:0810.4695},
  year   = {2019}
}

Comments

6 pages

R2 v1 2026-06-21T11:35:02.625Z