Probabilistic LP spaces

被引：4
|
作者：
Bahrami, Farid [1 ]
Mohammadbaghban, Mehdi [1 ]
机构：
[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 84756, Iran
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 402卷 / 02期
关键词：
Probabilistic normed space; Probabilistic valued measure; Probabilistic L-P spaces; Holder's inequality; NORMED SPACES;
D O I：
10.1016/j.jmaa.2013.01.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we define the notion of a probabilistic valued measure and the corresponding L-P spaces. With suitable interpretations, we also prove Holder's inequality. These results give us sufficient motivations to define probabilistic dual spaces and probabilistic inner product spaces, for which the probabilistic L-2 space serves as a model. (C) 2013 Elsevier Inc. All rights reserved.
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页码：505 / 517
页数：13
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