New applications of extremely regular function spaces
- Abrahamsen, Trond Arnold
- Dovland, Olav
- Poldvere, Mert
Publication date
January 2019
DOI Publisher
Mathematical Sciences Publishers (MSP) Language
EnglishAbstract
Author's accepted manuscriptLet L be an infinite locally compact Hausdorff topological space. We show that extremely regular subspaces of C0(L) have very strong diameter 2 properties and, for every real number ε with 0 <ε<1, contain an ε-isometric copy of c0. If L does not contain isolated points they even have the Daugavet property, and thus contain an asymptotically isometric copy of ℓ1.acceptedVersio
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