Geodesic
Generalized Lipschitz Algebras
Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 1-19

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The purpose of this paper is to generalize the results of Sherbert on Lipschitz algebras and to study the relationship between homomorphisms of these algebras and continuous maps of the underlying metric spaces. In Sections 1, 2, and 3 we associate with each metric space a class of Lipschitz-type algebras and extend Sherbert's results in [7] to this class; in particular Sherbert's theorem 5.1 is extended to non-compact metric spaces (3.3, 3.4, 3.5). 
Bishop, E.R. Generalized Lipschitz Algebras. Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 1-19. doi: 10.4153/CMB-1969-001-2
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     title = {Generalized {Lipschitz} {Algebras}},
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     year = {1969},
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     doi = {10.4153/CMB-1969-001-2},
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