The Riesz representation theorem on time scales

被引：5
|
作者：
Huseynov, Adil [1 ]
机构：
[1] Ankara Univ, Dept Math, TR-06100 Ankara, Turkey
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2012年 / 55卷 / 3-4期
关键词：
Linear functional; Riesz representation; Time scale; Delta derivative; Delta integral;
D O I：
10.1016/j.mcm.2011.10.055
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this study, the Riesz representation formula for continuous linear functionals on the space of continuous functions on a compact metric space is specified when the metric space is a compact interval of a time scale. The result obtained unifies the continuous and discrete versions of the Riesz representation formula and extends them to numerous different time scales. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：1570 / 1579
页数：10
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