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
Applications of ultrapowers to the uniform and Lipschitz classification of Banach spaces
S. Heinrich, P. Mankiewicz (1982)
Studia Mathematica
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Spaces of Lipschitz and Hölder functions and their applications.
Nigel J. Kalton (2004)
Collectanea Mathematica
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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...
The uniform classification of boundedly compact locally convex spaces
Sven Heinrich (1986)
Czechoslovak Mathematical Journal
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A nearly uniformly convex space which is not a -space
Denka Kutzarova (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Nonlinear generalizations of the Banach-Stone theorem
K. Jarosz (1989)
Studia Mathematica
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C(K) spaces which cannot be uniformly embedded into c₀(Γ)
Jan Pelant, Petr Holický, Ondřej F. K. Kalenda (2006)
Fundamenta Mathematicae
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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.
The nonlinear geometry of Banach spaces.
Nigel J. Kalton (2008)
Revista Matemática Complutense
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