Smooth Approximation of Lipschitz Projections
Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 762-766

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DOI

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.
DOI : 10.4153/CMB-2011-096-4
Mots-clés : 19K14, approximation, Lipschitz constant, projection
Li, Hanfeng. Smooth Approximation of Lipschitz Projections. Canadian mathematical bulletin, Tome 55 (2012) no. 4, pp. 762-766. doi: 10.4153/CMB-2011-096-4
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     author = {Li, Hanfeng},
     title = {Smooth {Approximation} of {Lipschitz} {Projections}},
     journal = {Canadian mathematical bulletin},
     pages = {762--766},
     year = {2012},
     volume = {55},
     number = {4},
     doi = {10.4153/CMB-2011-096-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-096-4/}
}
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