New applications of extremely regular function spaces
Peer reviewed, Journal article
Accepted version
Permanent lenke
https://hdl.handle.net/11250/3112462Utgivelsesdato
2019Metadata
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Originalversjon
Abrahamsen, T. A., Dovland, O. & Pöldvere, M. (2019). New applications of extremely regular function spaces. Pacific Journal of Mathematics, 301(2), 385-394. http://doi.org/10.2140/pjm.2019.301.385Sammendrag
Let 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.
Beskrivelse
Author's accepted manuscript