Geodesic
Isometries of Noncompact Lipschitz Spaces
Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 242-249

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DOI

We show that under reasonable restrictions on the metric spaces X and Y, every surjective isometric isomorphism between Lip(X) and Lip(Y) arises in a simple manner from an isometry between X and Y. Our result differs from several previous results along these lines in that we do not require X and Y to be compact.
DOI : 10.4153/CMB-1995-035-3
Mots-clés : 46B04, 46E15, 54E35 
Weaver, Nik. Isometries of Noncompact Lipschitz Spaces. Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 242-249. doi: 10.4153/CMB-1995-035-3
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     author = {Weaver, Nik},
     title = {Isometries of {Noncompact} {Lipschitz} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {242--249},
     year = {1995},
     volume = {38},
     number = {2},
     doi = {10.4153/CMB-1995-035-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-035-3/}
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