Modes of ideal continuity and the additive property in the Riesz space setting

被引：0

作者：

Boccuto, Antonio ^{[1
]}

Dimitriou, Xenofon ^{[2
]}

Papanastassiou, Nikolaos ^{[2
]}

Wilczynski, Wladyslaw ^{[3
]}

机构：

[1] Univ Perugia, Dept Math & Comp Sci, Via Vanvitelli 1, I-06123 Perugia, Italy

[2] Univ Athens, Dept Math, GR-15784 Athens, Greece

[3] Univ Lodz, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

JOURNAL OF APPLIED ANALYSIS | 2014年 / 20卷 / 01期

关键词：

(Admissible) ideal; additive property; ideal convergence/divergence; j(2)(j1)-convergence/divergence; ideal continuity; modes of continuity;

D O I：

10.1515/jaa-2014-0005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present some different types of ideal convergence/divergence and of ideal continuity for Riesz space-valued functions, and prove some basic properties and comparison results. We investigate the relations among different modes of ideal continuity and present a characterization of the (AP)-property for ideals of an abstract set A. Finally we pose some open problems.

引用

页码：41 / 53

页数：13

共 27 条

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