Functions represented as sums of two quasicontinuous functions with a closed graph

被引：1

作者：

Sieg, Waldemar ^{[1
]}

机构：

[1] Uniwersytet Kazimierza Wielkiego, Inst Matemat, PL-85072 Bydgoszcz, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 361卷 / 02期

关键词：

Functions with closed graph; Quasicontinuity;

D O I：

10.1016/j.jmaa.2009.07.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X = (X, d) be a metric space. We prove that if the set D(f) of discontinuity points of a function f : X -> R is "sufficiently small," then f can be decomposed into a sum of two quasicontinuous functions with a closed graph. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：558 / 565

页数：8

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