Uniform homeomorphisms between Banach spaces

P. Enflo

Displaying similar documents to “Uniform homeomorphisms between Banach spaces”

On two classes of Banach spaces with uniform normal structure

Ji Gao, Ka-Sing Lau (1991)

Studia Mathematica

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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 $(β)$ -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.

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

Spaces of Lipschitz and Hölder functions and their applications.

The uniform classification of boundedly compact locally convex spaces

A nearly uniformly convex space which is not a ( β ) -space

Nonlinear generalizations of the Banach-Stone theorem

C(K) spaces which cannot be uniformly embedded into c₀(Γ)

A nearly uniformly convex space which is not a $(β)$ -space