Two properties of Müntz spaces

2017/02/21 by Abrahamsen, Trond A., Leraand, Aleksander, Martiny, André +1
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1702.06367

Abstract

We show that Müntz spaces, as subspaces of C[0,1], contain asymptotically isometric copies of c₀ and that their dual spaces are octahedral.

Related

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• Asymptotic Muntz-Szasz Theorems
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• Lacunary Müntz spaces: isomorphisms and Carleson embeddings
• Operators on (C[0,1]) preserving copies of asymptotic (ℓ₁) spaces