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Smooth Approximation of Lipschitz Projections

Published online by Cambridge University Press:  20 November 2018

Hanfeng Li
Hanfeng Li*
Affiliation:
Department of Mathematics, SUNY at Buffalo, Buffalo, NY 14260-2900, USAe-mail: hfli@math.buffalo.edu
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Abstract

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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

19K14approximationLipschitz constantprojection
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 4 , 01 December 2012 , pp. 762 - 766
Copyright
Copyright © Canadian Mathematical Society 2012

References

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