翻訳と辞書 Words near each other ・ Weber River ・ Weber School ・ Weber School District ・ Weber Shandwick ・ Weber Stake Tabernacle ・ Weber State Tennis ・ Weber State University ・ Weber State Wildcats ・ Weber State Wildcats football ・ Weber State Wildcats men's basketball ・ Weber Street ・ Weber test ・ Weber Thesis ・ Weber Township, McPherson County, South Dakota ・ Webbed penis ・ Webbed space ・ Webbed toes ・ Webber ・ Webber (surname) ・ Webber Academy ・ Webber Douglas Academy of Dramatic Art ・ Webber Greens, Edmonton ・ Webber House ・ Webber House (Houston, Texas) ・ Webber House, Brisbane ・ Webber Independent School ・ Webber International University ・ Webber International University Warriors ・ Webber Island ・ Webber Jackson Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Webbed space ： ウィキペディア英語版 Webbed space In mathematics, particularly in functional analysis, a webbed space is a topological vector space designed with the goal of allowing the results of the open mapping theorem and the closed graph theorem to hold for a wider class of linear maps. A space is called webbed if there exists a collection of sets, called a ''web'' that satisfies certain properties. Webs were first investigated by de Wilde. ==Web== Let ''X'' be a Hausdorff locally convex topological vector space. A web is a stratified collection of disks satisfying the following absorbency and convergence requirements. The first stratum must consist of a sequence of disks in ''X'', denoted by $(D\_i)$, such that $X\; =\; \backslash cup\_\; D\_i$. For each disk $D\_i$ in the first stratum, there must exists a sequence of disks in ''X'', denote by $(D\_)$ such that $D\_\; \backslash subseteq\; (\backslash frac)D\_i$ and $\backslash cup\_\; D\_$ absorbs $D\_i$. This sequence of sequences will form the second stratum. To each disk in the second stratum we assign another sequence of disks with analogously defined properties. This process continuous for countably many strata. A strand is a sequence of disks, with the first disk being selected from the first stratum, say $D\_i$, and the second being selected from the sequence that was associated with $D\_i$, and so on. We also require that if a sequence of vectors $(x\_n)$ is selected from a strand (with $x\_1$ belonging to the first disk in the strand, $x\_2$ belonging to the second, and so on) then the series $\backslash Sigma\_\; x\_n$ converges. A Hausdorff locally convex topological vector space on which a web can be defined is called a webbed space. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Webbed space」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.