On Certain Topological Structures of Summable Paranormed Sequence Space Defined in Two - Normed Space
نویسندگان
چکیده
منابع مشابه
Menger probabilistic normed space is a category topological vector space
In this paper, we formalize the Menger probabilistic normed space as a category in which its objects are the Menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. Then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. So, we can easily apply the results of topological vector spaces...
متن کاملentire sequence spaces defined on locally convex hausdorff topological space
in this paper we introduce entire sequence spaces defined by a sequence of modulus functions . we study some topological properties of these spaces and prove some inclusion relations.
متن کاملA new sequence space and norm of certain matrix operators on this space
In the present paper, we introduce the sequence space [{l_p}(E,Delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left| sum_{j in {E_n}} x_j - sum_{j in E_{n + 1}} x_jright| ^p < infty right},] where $E=(E_n)$ is a partition of finite subsets of the positive integers and $pge 1$. We investigate its topological properties and inclusion relations. Moreover, we consider the problem of fin...
متن کاملmenger probabilistic normed space is a category topological vector space
in this paper, we formalize the menger probabilistic normed space as a category in which its objects are the menger probabilistic normed spaces and its morphisms are fuzzy continuous operators. then, we show that the category of probabilistic normed spaces is isomorphicly a subcategory of the category of topological vector spaces. so, we can easily apply the results of topological vector spaces...
متن کاملOn some properties of new paranormed sequence space defined by λ-convergent sequences
*Correspondence: [email protected] Department of Mathematics and Computer Sciences, University of Prishtina, Avenue ‘Mother Teresa’ 5, Prishtinë, 10000, Kosovo Department of Computer Sciences and Applied Mathematics, College Vizioni per Arsim, Ferizaj, 70000, Kosovo Abstract In this paper, we introduce the new sequence space l(λ2,p) and we will show some topological properties like completeness,...
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: Journal of Institute of Science and Technology
سال: 2015
ISSN: 2467-9240
DOI: 10.3126/jist.v19i2.13867