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
On topological, Lipschitz and uniform classification of LF-spaces
P. Mankiewicz (1974)
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Axiom systems for Lipschitz structures
Robert Fraser (1970)
Fundamenta Mathematicae
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The uniform classification of boundedly compact locally convex spaces
Sven Heinrich (1986)
Czechoslovak Mathematical Journal
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A note on Lipschitz isomorphisms in Hilbert spaces
Dean Ives (2010)
Commentationes Mathematicae Universitatis Carolinae
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We show that the following well-known open problems on existence of Lipschitz isomorphisms between subsets of Hilbert spaces are equivalent: Are balls isomorphic to spheres? Is the whole space isomorphic to the half space?
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.