Komls properties in Banach lattices
ACTA MATHEMATICA HUNGARICA, cilt.155, sa.2, ss.324-331, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 155 Sayı: 2
- Basım Tarihi: 2018
- Doi Numarası: 10.1007/s10474-018-0852-5
- Dergi Adı: ACTA MATHEMATICA HUNGARICA
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.324-331
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Hacettepe Üniversitesi Adresli: Evet
Özet
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.