Two problems in the theory of disjointness preserving operators

被引：1

作者：

Turan, Bahri ^{[1
]}

Ozcan, Kazim ^{[2
]}

机构：

[1] Gazi Univ, Fac Sci, Dept Math, TR-06500 Ankara, Turkey

[2] Gazi Highsch, Ankara, Turkey

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 50卷 / 02期

关键词：

Riesz space; disjointness preserving operator;

D O I：

10.15672/hujms.622718

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this short note, our aim is to solve two problems in the theory of disjointness preserving operators. Firstly, we obtain the converse direction of Hart's Theorem which was given in [D.R. Hart, Some properties of disjointness preserving operators, Mathematics Proceedings, 1985]. As a result, we get an affirmative solution of an open problem given by Y.A. Abramovich and A.K. Kitover in [Inverses of disjointness preserving operators, Mem. Amer. Math. Soc., 2000].

引用

页码：361 / 364

页数：4