On the differentiability of Lipschitz mappings in Fréchet spaces
P. Mankiewicz (1973)
Studia Mathematica
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Displaying similar documents to “On Lipschitz mappings between Fréchet spaces”
On the differentiability of Lipschitz mappings in Fréchet spaces
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A Note on Differentiability of Lipschitz Maps
Rafał Górak (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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We show that every Lipschitz map defined on an open subset of the Banach space C(K), where K is a scattered compactum, with values in a Banach space with the Radon-Nikodym property, has a point of Fréchet differentiability. This is a strengthening of the result of Lindenstrauss and Preiss who proved that for countable compacta. As a consequence of the above and a result of Arvanitakis we prove that Lipschitz functions on certain function spaces are Gâteaux differentiable.