(Q1471397)

English

Fréchet space

locally convex space that is complete with respect to a translation-invariant metric

Frechet space

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{\begin{aligned}&\|-\|_{1},\|-\|_{2},\dotsc \colon X\to \mathbb {R} _{\geq 0}\\&\|\lambda x\|_{k}=|\lambda |\|x\|_{k}\\&\|x+y\|_{k}\leq \|x\|_{k}+\|y\|_{k}\\&x=0\iff \forall k>0\colon \|x\|_{k}=0\\&U\in \operatorname {Open} (X)\iff \forall u\in U\exists K>0,r>0\colon \{x\in X\colon \forall k\geq K\colon \|u-x\|_{k}<r\}\subset U\end{aligned}}

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maintained by WikiProject

WikiProject Mathematics

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different from

sequential space

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imported from Wikimedia project

Polish Wikipedia

Wikimedia import URL

https://pl.wikipedia.org/w/index.php?title=Przestrzeń_Frécheta_(analiza_funkcjonalna)&oldid=63973218

Identifiers

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Encyclopedia of Mathematics article ID

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28 October 2013

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Microsoft Academic ID

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1 reference

26 January 2022

https://docs.openalex.org/download-snapshot/snapshot-data-format

PlanetMath ID

FrechetSpace

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Treccani's Enciclopedia della Matematica ID

spazio-di-frechet

subject named as

Frechet, spazio di

publication date

2017

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Sitelinks

Wikipedia(14 entries)

arwiki فضاء فريشيه
cawiki Espai de Fréchet
dewiki Fréchet-Raum
enwiki Fréchet space
eowiki Freŝea spaco
eswiki Espacio de Fréchet
frwiki Espace de Fréchet
itwiki Spazio di Fréchet
jawiki フレシェ空間
kowiki 프레셰 공간
nlwiki Fréchet-ruimte
plwiki Przestrzeń Frécheta (analiza funkcjonalna)
ruwiki Пространство Фреше
ukwiki Простір Фреше

(Q1471397)

Fréchet space

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Wikipedia(14 entries)

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