Komls properties in Banach lattices


Creative Commons License

EMELYANOV E. , ERKURŞUN ÖZCAN N., Gorokhova S. G.

ACTA MATHEMATICA HUNGARICA, cilt.155, ss.324-331, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 155 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s10474-018-0852-5
  • Dergi Adı: ACTA MATHEMATICA HUNGARICA
  • Sayfa Sayıları: ss.324-331

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.