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Displaying similar documents to “The class of functions fulfilling the inequality f ( x + z ) - f ( x ) - f ( y + z ) + f ( y ) x - y ω ( z )

Nonatomic Lipschitz spaces

Nik Weaver (1995)

Studia Mathematica

Similarity:

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.