On two classes of Banach spaces with uniform normal structure
Ji Gao, Ka-Sing Lau (1991)
Studia Mathematica
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Displaying similar documents to “Uniform homeomorphisms between Banach spaces”
On two classes of Banach spaces with uniform normal structure
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Spaces of Lipschitz and Hölder functions and their applications.
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We study the structure of Lipschitz and Hölder-type spaces and their preduals on general metric spaces, and give applications to the uniform structure of Banach spaces. In particular we resolve a problem of Weaver who asks wether if M is a compact metric space and 0 < α < 1, it is always true the space of Hölder continuous functions of class α is isomorphic to l. We show that, on the contrary, if M is a compact convex subset of a Hilbert space this isomorphism holds if...
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Denka Kutzarova (1989)
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C(K) spaces which cannot be uniformly embedded into c₀(Γ)
Jan Pelant, Petr Holický, Ondřej F. K. Kalenda (2006)
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We give two examples of scattered compact spaces K such that C(K) is not uniformly homeomorphic to any subset of c₀(Γ) for any set Γ. The first one is [0,ω₁] and hence it has the smallest possible cardinality, the other one has the smallest possible height ω₀ + 1.