Nonatomic Lipschitz spaces

Volume 115 / 1995

Nik Weaver Studia Mathematica 115 (1995), 277-289 DOI: 10.4064/sm-115-3-277-289

Abstract

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.

Authors

  • Nik Weaver

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