Smoothing of abstract functions
Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 405-430

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This paper investigates the problem of approximating uniformly continuous maps by smoother maps. Here the uniformly continuous maps are defined on subsets of Banach spaces and take values in other Banach spaces.
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     author = {I. G. Tsar'kov},
     title = {Smoothing of abstract functions},
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I. G. Tsar'kov. Smoothing of abstract functions. Sbornik. Mathematics, Tome 83 (1995) no. 2, pp. 405-430. http://geodesic.mathdoc.fr/item/SM_1995_83_2_a7/