開写像定理 (関数解析)

ja

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開写像定理 (関数解析)

Quality:

Open mapping theorem - Theorem that surjective continuous operators on Banach spaces are open maps. Article "開写像定理 (関数解析)" in Japanese Wikipedia has 4.1 points for quality (as of November 1, 2023). The article contains 0 references and 4 sections.

This article has the best quality in French Wikipedia. However, the most popular language version of this article is English.

Since the creation of article "開写像定理 (関数解析)", its content was written by 6 registered users of Japanese Wikipedia and edited by 213 registered Wikipedia users in all languages.

The article is cited 52 times in Japanese Wikipedia and cited 512 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #43539 in July 2012
  • Global: #29384 in April 2003

The highest popularity rank from 2008:

  • Local (Japanese): #442442 in July 2022
  • Global: #400862 in November 2014

There are 18 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1French (fr)
Théorème de Banach-Schauder
35.45
2English (en)
Open mapping theorem (functional analysis)
30.9613
3Dutch (nl)
Open afbeeldingsstelling
24.2206
4Portuguese (pt)
Teorema de Banach-Schauder
19.8929
5Catalan (ca)
Teorema de la funció oberta
16.6448
6German (de)
Satz von der offenen Abbildung (Funktionalanalysis)
12.513
7Chinese (zh)
开映射定理
9.6596
8Italian (it)
Teorema della funzione aperta (analisi funzionale)
8.3275
9Hebrew (he)
משפט ההעתקה הפתוחה
5.1802
10Swedish (sv)
Satsen om den öppna avbildningen
4.9612
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "開写像定理 (関数解析)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Open mapping theorem (functional analysis)
305 459
2French (fr)
Théorème de Banach-Schauder
74 892
3German (de)
Satz von der offenen Abbildung (Funktionalanalysis)
48 865
4Polish (pl)
Twierdzenie o odwzorowaniu otwartym
27 966
5Spanish (es)
Teorema de la función abierta
18 449
6Russian (ru)
Теорема об открытом отображении
17 113
7Chinese (zh)
开映射定理
14 872
8Persian (fa)
قضیه نگاشت باز
12 260
9Hebrew (he)
משפט ההעתקה הפתוחה
10 948
10Italian (it)
Teorema della funzione aperta (analisi funzionale)
10 929
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in October 2023

The most popular language versions of the article "開写像定理 (関数解析)" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Open mapping theorem (functional analysis)
2 317
2French (fr)
Théorème de Banach-Schauder
482
3German (de)
Satz von der offenen Abbildung (Funktionalanalysis)
175
4Japanese (ja)
開写像定理 (関数解析)
130
5Chinese (zh)
开映射定理
122
6Spanish (es)
Teorema de la función abierta
84
7Russian (ru)
Теорема об открытом отображении
77
8Italian (it)
Teorema della funzione aperta (analisi funzionale)
70
9Polish (pl)
Twierdzenie o odwzorowaniu otwartym
49
10Persian (fa)
قضیه نگاشت باز
30
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "開写像定理 (関数解析)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1French (fr)
Théorème de Banach-Schauder
42
2English (en)
Open mapping theorem (functional analysis)
36
3German (de)
Satz von der offenen Abbildung (Funktionalanalysis)
24
4Hebrew (he)
משפט ההעתקה הפתוחה
15
5Russian (ru)
Теорема об открытом отображении
11
6Polish (pl)
Twierdzenie o odwzorowaniu otwartym
10
7Vietnamese (vi)
Nguyên lý ánh xạ mở
10
8Spanish (es)
Teorema de la función abierta
8
9Persian (fa)
قضیه نگاشت باز
8
10Ukrainian (uk)
Теорема Банаха про обернений оператор
8
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in October 2023

Language versions of the article "開写像定理 (関数解析)" with the highest AI in October 2023
#LanguageAI awardRelative AI
1English (en)
Open mapping theorem (functional analysis)
1
2Catalan (ca)
Teorema de la funció oberta
0
3German (de)
Satz von der offenen Abbildung (Funktionalanalysis)
0
4Spanish (es)
Teorema de la función abierta
0
5Persian (fa)
قضیه نگاشت باز
0
6French (fr)
Théorème de Banach-Schauder
0
7Hebrew (he)
משפט ההעתקה הפתוחה
0
8Italian (it)
Teorema della funzione aperta (analisi funzionale)
0
9Japanese (ja)
開写像定理 (関数解析)
0
10Dutch (nl)
Open afbeeldingsstelling
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "開写像定理 (関数解析)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Open mapping theorem (functional analysis)
185
2French (fr)
Théorème de Banach-Schauder
80
3Chinese (zh)
开映射定理
69
4Japanese (ja)
開写像定理 (関数解析)
52
5German (de)
Satz von der offenen Abbildung (Funktionalanalysis)
23
6Persian (fa)
قضیه نگاشت باز
18
7Polish (pl)
Twierdzenie o odwzorowaniu otwartym
14
8Spanish (es)
Teorema de la función abierta
10
9Hebrew (he)
משפט ההעתקה הפתוחה
9
10Italian (it)
Teorema della funzione aperta (analisi funzionale)
8
More...

Scores

Estimated value for Wikipedia:
Japanese:
Global:
Popularity in October 2023:
Japanese:
Global:
Popularity in all years:
Japanese:
Global:
Authors in October 2023:
Japanese:
Global:
Registered authors in all years:
Japanese:
Global:
Citations:
Japanese:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema de la funció oberta
deGerman
Satz von der offenen Abbildung (Funktionalanalysis)
enEnglish
Open mapping theorem (functional analysis)
esSpanish
Teorema de la función abierta
faPersian
قضیه نگاشت باز
frFrench
Théorème de Banach-Schauder
heHebrew
משפט ההעתקה הפתוחה
itItalian
Teorema della funzione aperta (analisi funzionale)
jaJapanese
開写像定理 (関数解析)
nlDutch
Open afbeeldingsstelling
plPolish
Twierdzenie o odwzorowaniu otwartym
ptPortuguese
Teorema de Banach-Schauder
ruRussian
Теорема об открытом отображении
srSerbian
Теорема о отвореном пресликавању
svSwedish
Satsen om den öppna avbildningen
ukUkrainian
Теорема Банаха про обернений оператор
viVietnamese
Nguyên lý ánh xạ mở
zhChinese
开映射定理

Popularity rank trends

Best Rank Japanese:
#442442
07.2022
Global:
#400862
11.2014

AI rank trends

Best Rank Japanese:
#43539
07.2012
Global:
#29384
04.2003

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Open mapping theorem from Wikipedia articles about Open mapping theorem, Bounded inverse theorem, Baire category theorem, Functional analysis and Uniform boundedness principle. Whereas reading the article about Open mapping theorem people most often go to Wikipedia articles on Baire category theorem, Bounded inverse theorem, Open and closed maps, Closed graph theorem and Open mapping theorem.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 11 June 2024

On 11 June 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: UEFA Euro 2024, ChatGPT, 2026 FIFA World Cup qualification (AFC), Cristiano Ronaldo, YouTube, UEFA European Championship, deaths in 2024, Malawi, 2024 European Athletics Championships, Hunter Biden.

In Japanese Wikipedia the most popular articles on that day were: ホテルニュージャパン火災, 池脇千鶴, 横井英樹, 神戸蘭子, 三浦宏規, 磯山晶, 吉田羊, 武尊, 若葉竜也, 日本航空350便墜落事故.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information