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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:361

Article

Sieg, Waldemar

关键词: Functions with closed graph;    Quasicontinuity;   

DOI  :  10.1016/j.jmaa.2009.07.039

来源: Elsevier

【 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.

【 授权许可】

Free