Let MATH $\\delta (f)$ be any multiplicative norm for ; i.e., one under which it is a normed algebra. It is shown that MATH $\\delta (f)$ , whether or not it is complete, majorizes the natural norm and . Under certain conditions on the radical of the completion of MATH $\\...
The fundamental aim of this paper is to introduce and investigate a new\nproperty of quasi 2-normed space based on a question given by C. Park (2006)\n[2] for the completion quasi 2-normed space. Finally, we also find an answer\nfor a question Park's....
1.Compactness and Completeness of Fuzzy Normed Linear Space;模糊赋范线性空间的紧性与完备性 2.Complete Algorithm of Quick Heuristic Attribute Reduction Based on Indiscernibility Degree基于不可区分度的启发式快速完备约简算法 3.In order to probe into the properties of frequency spectrum for a group of...
+ instance (priority := 100) BoundedSMul.toUniformContinuousConstSMul : + instance [NormedField 𝕜] [SeminormedAddCommGroup E] [NormedSpace 𝕜 E] : + instance [NormedField 𝕜] [SeminormedCommRing A] [NormedAlgebra 𝕜 A] : + instance [SeminormedCommRing A] : NormedCommRing (Com...
Part I: The Space of Directed Sets A normed and partially ordered vector space of so-called 'directed sets' is constructed, in which the convex cone of all nonempty convex compact sets in R ... R Baier,EM Farkhi - Set-Valued Analysis 被引量: 75发表: 2001年 Bayes and the simplicity ...
Recently, Mursaleen and Lohani [Mursaleen M, Lohani Danish. Intuitionistic fuzzy 2-normed space and some related concepts. Chaos, Solitons & Fractals (2008), doi:10.1016/j.chaos.2008.11.006] have introduced the concept of intuitionistic fuzzy 2-normed space. In this paper, we introduce the ...
J. of Fuzzy sets and systems 159, 2596–2605 (2008) CrossRef Xiao, J.Z., Zhu, X.H.: On linear topological structure and property of fuzzy normed linear space. Fuzzy sets and systems 125, 153–161 (2002) CrossRef Katsaras, A.K.: Fuzzy topological vector spaces I. J. of ...
Let $\delta(f)$ be any multiplicative norm for $C(X, Q)$; i.e., one under which it is a normed algebra. It is shown that $\delta(f)$, whether or not it is complete, majorizes the natural norm and $r(f)$. Under certain conditions on the radical of the completion of $\...
fuzzy normed spacecompletionWe argue that in some recent papers discussing the completion of fuzzy metric and fuzzy normed spaces proper credit is not given to earlier works on the subject.doi:10.1016/j.fss.2008.03.011Osmo KalevaTampere University of Technology...
Normed spaceRadiusSelf-radiusIn this paper we study properties of complete sets and of completions of sets in Banach spaces. We consider the family of completions of a given set and its size; we also study in detail the relationships concerning diameters, radii, and centers. The results are ...