Nonatomic Lipschitz spaces
Studia Mathematica, Tome 115 (1995) no. 3, p. 277.

Voir la notice de l'article dans European Digital Mathematics Library

We abstractly characterize Lipschitz spaces in terms of having a lattice-complete unit ball and a separating family of pure normal states. We then formulate a notion of "measurable metric space" and characterize the corresponding Lipschitz spaces in terms of having a lattice complete unit ball and a separating family of normal states.
Classification : 46B42, 46E05, 46E15
Mots-clés : Lipschitz spaces, lattice-complete unit ball, separating family of pure normal states 
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     author = {Nik Weaver},
     title = {Nonatomic {Lipschitz} spaces},
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Nik Weaver. Nonatomic Lipschitz spaces. Studia Mathematica, Tome 115 (1995) no. 3, p. 277. https://geodesic-test.mathdoc.fr/item/STUMA_1995__115_3_216213/