Countable products of probabilistic normed spaces
نویسندگان
چکیده
منابع مشابه
On 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.
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σn(Γ) = {x ∈ {0, 1} Γ : |supp(x)| ≤ n}. Here supp(x) = {γ ∈ Γ : xγ 6= 0}. This is a closed, hence compact subset of {0, 1}, which is identified with the family of all subsets of Γ of cardinality at most n. In this work we will study the spaces which are countable products of spaces σn(Γ), mainly their topological classification as well as the classification of their Banach spaces of continuous ...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2009
ISSN: 0362-546X
DOI: 10.1016/j.na.2009.02.124