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.

引用

页码：505 / 517

页数：13

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