Komls properties in Banach lattices
ACTA MATHEMATICA HUNGARICA, vol.155, no.2, pp.324-331, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 155 Issue: 2
- Publication Date: 2018
- Doi Number: 10.1007/s10474-018-0852-5
- Journal Name: ACTA MATHEMATICA HUNGARICA
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.324-331
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: Yes
Abstract
Several Komls like properties in Banach lattices are investigated. We prove that C(K) fails the -pre-Komls property, assuming that the compact Hausdorff space K has a nonempty separable open subset U without isolated points such that every u U has countable neighborhood base. We prove also that, for any infinite dimension al Banach lattice E, there is an unbounded convex uo-pre-Komls set C which is not uo-Komls.