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

页码：324 / 331

页数：8

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