Quotient probabilistic normed spaces and completeness results
نویسندگان
چکیده
منابع مشابه
Completeness in Probabilistic Metric Spaces
The idea of probabilistic metric space was introduced by Menger and he showed that probabilistic metric spaces are generalizations of metric spaces. Thus, in this paper, we prove some of the important features and theorems and conclusions that are found in metric spaces. At the beginning of this paper, the distance distribution functions are proposed. These functions are essential in defining p...
متن کاملOn Probabilistic Normed Spaces Under
We introduce the operation L copulative with T,L to define PN space under T,L and establish some basic properties of probabilistic seminorms and norms under T,L Finally, we discuss so-called L-simple spaces.
متن کاملOn Generalized Probabilistic Normed Spaces
In this paper, generalized probabilistic n-normed spaces are studied, topological properties of these spaces are given. As examples, spaces of random variables are considered. Connections with generalized deterministic n-normed spaces are also given. Mathematics Subject Classification: 60H10, 47H10
متن کاملOn Probabilistic 2-normed Spaces
In [16] K. Menger proposed the probabilistic concept of distance by replacing the number d(p, q), as the distance between points p, q, by a distribution function Fp,q. This idea led to development of probabilistic analysis [3], [11] [18]. In this paper, generalized probabilistic 2-normed spaces are studied and topological properties of these spaces are given. As an example, a space of random va...
متن کاملOn Linear Functional Equations and Completeness of Normed Spaces
The aim of this note is to give a type of characterization of Banach spaces in terms of the stability of functional equations. More precisely, we prove that a normed space X is complete if there exists a functional equation of the type n ∑ i=1 aif(φi(x1, . . . , xk)) = 0 (x1, . . . , xk ∈ D) with given real numbers a1, . . . , an, given mappings φ1 . . . , φn : D k → D and unknown function f : ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings Mathematical Sciences
سال: 2007
ISSN: 0253-4142,0973-7685
DOI: 10.1007/s12044-007-0005-1