Displaying similar documents to “Does Atkinson-Wilcox Expansion Converges for any Convex Domain?”

A note on Costara's paper

Armen Edigarian (2004)

Annales Polonici Mathematici

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We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.

Lempert theorem for strongly linearly convex domains

Łukasz Kosiński, Tomasz Warszawski (2013)

Annales Polonici Mathematici

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In 1984 L. Lempert showed that the Lempert function and the Carathéodory distance coincide on non-planar bounded strongly linearly convex domains with real-analytic boundaries. Following his paper, we present a slightly modified and more detailed version of the proof. Moreover, the Lempert Theorem is proved for non-planar bounded strongly linearly convex domains.

On Convex Sets with Convex-Hereditary CEP

Tadeusz Dobrowolski (2011)

Bulletin of the Polish Academy of Sciences. Mathematics

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CEP stands for the compact extension property. We characterize nonlocally convex complete metric linear spaces with convex-hereditary CEP.