Displaying similar documents to “Uniform Dilations.”

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.

A note on uniform or Banach density

Georges Grekos, Vladimír Toma, Jana Tomanová (2010)

Annales mathématiques Blaise Pascal

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In this note we present and comment three equivalent definitions of the so called or density of a set of positive integers.

Beurling algebras and uniform norms

S. J. Bhatt, H. V. Dedania (2004)

Studia Mathematica

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Given a locally compact abelian group G with a measurable weight ω, it is shown that the Beurling algebra L¹(G,ω) admits either exactly one uniform norm or infinitely many uniform norms, and that L¹(G,ω) admits exactly one uniform norm iff it admits a minimum uniform norm.