Uniform boundedness principle

en

WikiRank.net
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Uniform boundedness principle

Quality:

Uniform boundedness principle - theorem that a pointwise bounded set of linear operators on a Banach space is uniformly bounded in operator norm. Article "Uniform boundedness principle" in English Wikipedia has 31.4 points for quality (as of July 1, 2025). The article contains 9 references and 12 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Uniform boundedness principle", its content was written by 65 registered users of English Wikipedia and edited by 277 registered Wikipedia users in all languages.

The article is cited 478 times in English Wikipedia and cited 794 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #9963 in March 2004
  • Global: #19618 in June 2003

The highest popularity rank from 2008:

  • Local (English): #307924 in November 2023
  • Global: #285875 in July 2022

There are 19 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 July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Uniform boundedness principle
31.436
2Ukrainian (uk)
Теорема Банаха — Штейнгауза
23.8971
3Catalan (ca)
Teorema de Banach-Steinhaus
22.0901
4Spanish (es)
Principio de acotación uniforme
21.0508
5German (de)
Satz von Banach-Steinhaus
17.7848
6French (fr)
Théorème de Banach-Steinhaus
17.1392
7Chinese (zh)
一致有界性原理
16.7434
8Korean (ko)
균등 유계성 원리
12.0426
9Portuguese (pt)
Teorema de Banach-Steinhaus
11.0851
10Polish (pl)
Twierdzenie Banacha-Steinhausa
10.531
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 "Uniform boundedness principle" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Uniform boundedness principle
437 289
2French (fr)
Théorème de Banach-Steinhaus
96 604
3German (de)
Satz von Banach-Steinhaus
79 765
4Polish (pl)
Twierdzenie Banacha-Steinhausa
76 000
5Italian (it)
Principio dell'uniforme limitatezza
24 870
6Russian (ru)
Принцип равномерной ограниченности
22 278
7Chinese (zh)
一致有界性原理
14 269
8Portuguese (pt)
Teorema de Banach-Steinhaus
13 171
9Hebrew (he)
משפט בנך-שטיינהאוס
9 497
10Vietnamese (vi)
Định lý Banach-Steinhause
6 469
More...

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

Most popular in June 2025

The most popular language versions of the article "Uniform boundedness principle" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Uniform boundedness principle
2 402
2French (fr)
Théorème de Banach-Steinhaus
389
3German (de)
Satz von Banach-Steinhaus
321
4Polish (pl)
Twierdzenie Banacha-Steinhausa
178
5Chinese (zh)
一致有界性原理
178
6Russian (ru)
Принцип равномерной ограниченности
177
7Spanish (es)
Principio de acotación uniforme
139
8Italian (it)
Principio dell'uniforme limitatezza
94
9Portuguese (pt)
Teorema de Banach-Steinhaus
47
10Hebrew (he)
משפט בנך-שטיינהאוס
32
More...

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

The highest AI

Language versions of the article "Uniform boundedness principle" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Uniform boundedness principle
65
2French (fr)
Théorème de Banach-Steinhaus
44
3German (de)
Satz von Banach-Steinhaus
34
4Italian (it)
Principio dell'uniforme limitatezza
25
5Polish (pl)
Twierdzenie Banacha-Steinhausa
18
6Vietnamese (vi)
Định lý Banach-Steinhause
16
7Hebrew (he)
משפט בנך-שטיינהאוס
14
8Ukrainian (uk)
Теорема Банаха — Штейнгауза
10
9Swedish (sv)
Banach-Steinhaus sats
9
10Chinese (zh)
一致有界性原理
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 June 2025

Language versions of the article "Uniform boundedness principle" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Russian (ru)
Принцип равномерной ограниченности
2
2German (de)
Satz von Banach-Steinhaus
1
3Catalan (ca)
Teorema de Banach-Steinhaus
0
4Czech (cs)
Banachova–Steinhausova věta
0
5English (en)
Uniform boundedness principle
0
6Spanish (es)
Principio de acotación uniforme
0
7Persian (fa)
اصل کران‌داری یکنواخت
0
8French (fr)
Théorème de Banach-Steinhaus
0
9Hebrew (he)
משפט בנך-שטיינהאוס
0
10Italian (it)
Principio dell'uniforme limitatezza
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 "Uniform boundedness principle" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Uniform boundedness principle
478
2French (fr)
Théorème de Banach-Steinhaus
74
3Persian (fa)
اصل کران‌داری یکنواخت
39
4Ukrainian (uk)
Теорема Банаха — Штейнгауза
35
5German (de)
Satz von Banach-Steinhaus
22
6Chinese (zh)
一致有界性原理
22
7Polish (pl)
Twierdzenie Banacha-Steinhausa
21
8Spanish (es)
Principio de acotación uniforme
16
9Hebrew (he)
משפט בנך-שטיינהאוס
11
10Italian (it)
Principio dell'uniforme limitatezza
10
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema de Banach-Steinhaus
csCzech
Banachova–Steinhausova věta
deGerman
Satz von Banach-Steinhaus
enEnglish
Uniform boundedness principle
esSpanish
Principio de acotación uniforme
faPersian
اصل کران‌داری یکنواخت
frFrench
Théorème de Banach-Steinhaus
heHebrew
משפט בנך-שטיינהאוס
itItalian
Principio dell'uniforme limitatezza
koKorean
균등 유계성 원리
nlDutch
Principe van uniforme begrensdheid
plPolish
Twierdzenie Banacha-Steinhausa
ptPortuguese
Teorema de Banach-Steinhaus
ruRussian
Принцип равномерной ограниченности
srSerbian
Теорема Банаха-Штајнхауса
svSwedish
Banach-Steinhaus sats
ukUkrainian
Теорема Банаха — Штейнгауза
viVietnamese
Định lý Banach-Steinhause
zhChinese
一致有界性原理

Popularity rank trends

Best Rank English:
#307924
11.2023
Global:
#285875
07.2022

AI rank trends

Best Rank English:
#9963
03.2004
Global:
#19618
06.2003

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Uniform boundedness principle from Wikipedia articles about Functional analysis, Baire category theorem, Stefan Banach, Hugo Steinhaus and Equicontinuity. Whereas reading the article about Uniform boundedness principle people most often go to Wikipedia articles on Baire category theorem, Meagre set, Hahn–Banach theorem, Open mapping theorem and Barrelled space.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 9 July 2025

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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 July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information