On Lipschitz mappings between Fréchet spaces
P. Mankiewicz (1972)
Studia Mathematica
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P. Mankiewicz (1972)
Studia Mathematica
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P. Mankiewicz (1974)
Studia Mathematica
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Hu, Sze-Tsen (1948)
Portugaliae mathematica
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Sven Heinrich (1986)
Czechoslovak Mathematical Journal
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Robert Fraser (1970)
Fundamenta Mathematicae
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Tomás Domínguez Benavides (1980)
Collectanea Mathematica
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Eva Kopecká (2012)
Fundamenta Mathematicae
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We show how Kirszbraun's theorem on extending Lipschitz mappings in Hilbert space implies its own generalization. There is a continuous extension operator preserving the Lipschitz constant of every mapping.
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?