Komls properties in Banach lattices

被引：4
|
作者：
Emelyanov, E. Y. [1 ,3 ]
Erkursun-Ozcan, N. [2 ]
Gorokhova, S. G. [3 ]
机构：
[1] Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkey
[2] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey
[3] Sobolev Inst Math, Novosibirsk 630090, Russia
来源：
ACTA MATHEMATICA HUNGARICA | 2018年 / 155卷 / 02期
关键词：
Banach lattice; o-convergence; uo-convergence; un-convergence; Komlos property; Komlos set; space of continuous functions;
D O I：
10.1007/s10474-018-0852-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：324 / 331
页数：8
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