Nonatomic Lipschitz spaces
Studia Mathematica, Tome 115 (1995) no. 3, pp. 277-289
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_sm_115_3_277_289,
author = {Nik Weaver},
title = {Nonatomic {Lipschitz} spaces},
journal = {Studia Mathematica},
pages = {277--289},
publisher = {mathdoc},
volume = {115},
number = {3},
year = {1995},
doi = {10.4064/sm-115-3-277-289},
language = {de},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-115-3-277-289/}
}
Nik Weaver. Nonatomic Lipschitz spaces. Studia Mathematica, Tome 115 (1995) no. 3, pp. 277-289. doi: 10.4064/sm-115-3-277-289
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