Weaver, Nik Nonatomic Lipschitz spaces. (English) Zbl 0839.46014 Stud. Math. 115, No. 3, 277-289 (1995). Summary: 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. Cited in 2 ReviewsCited in 4 Documents MSC: 46B42 Banach lattices 46E05 Lattices of continuous, differentiable or analytic functions 46E15 Banach spaces of continuous, differentiable or analytic functions Keywords:Lipschitz spaces; lattice-complete unit ball; separating family of pure normal states PDFBibTeX XMLCite \textit{N. Weaver}, Stud. Math. 115, No. 3, 277--289 (1995; Zbl 0839.46014) Full Text: DOI EuDML