An extension of Rademacher’s theorem is proved for Lipschitz mappings between Banach spaces without the Radon–Nikodým property.
Bongiorno, D. (2013). Metric differentiability of Lipschitz maps. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 96(1), 25-35 [DOI: http://dx.doi.org/10.1017/S1446788713000360].
Metric differentiability of Lipschitz maps
BONGIORNO, Donatella
2013-01-01
Abstract
An extension of Rademacher’s theorem is proved for Lipschitz mappings between Banach spaces without the Radon–Nikodým property.
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