哈恩-巴拿赫定理

Hahn–Banach theorem - theorem on extension of bounded linear functionals. Article "哈恩-巴拿赫定理" in Chinese Wikipedia has 22.1 points for quality (as of July 1, 2025). The article contains 5 references and 7 sections.

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

Since the creation of article "哈恩-巴拿赫定理", its content was written by 7 registered users of Chinese Wikipedia and edited by 449 registered Wikipedia users in all languages.

The article is cited 102 times in Chinese Wikipedia and cited 1166 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Chinese): #20920 in January 2009
• Global: #467 in September 2001

The highest popularity rank from 2008:

• Local (Chinese): #139533 in May 2010
• Global: #161192 in January 2019

There are 21 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.

#	Language	Quality grade	Quality score
1	English (en) Hahn–Banach theorem		64.635
2	Portuguese (pt) Teorema de Hahn-Banach		35.4638
3	German (de) Satz von Hahn-Banach		22.8035
4	Chinese (zh) 哈恩-巴拿赫定理		22.11
5	Dutch (nl) Stelling van Hahn-Banach		21.0534
6	French (fr) Théorème de Hahn-Banach		20.12
7	Catalan (ca) Teorema de Hahn-Banach		18.1711
8	Italian (it) Teorema di Hahn-Banach		14.1823
9	Polish (pl) Twierdzenie Hahna-Banacha		13.9814
10	Vietnamese (vi) Định lý Hahn-Banach		12.5348

More...

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

The most popular language versions of the article "哈恩-巴拿赫定理" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Hahn–Banach theorem		819 938
2	German (de) Satz von Hahn-Banach		122 984
3	French (fr) Théorème de Hahn-Banach		121 491
4	Russian (ru) Теорема Хана — Банаха		91 131
5	Polish (pl) Twierdzenie Hahna-Banacha		67 306
6	Japanese (ja) ハーン–バナッハの定理		59 005
7	Italian (it) Teorema di Hahn-Banach		51 277
8	Spanish (es) Teorema de Hahn–Banach		46 068
9	Chinese (zh) 哈恩-巴拿赫定理		23 384
10	Portuguese (pt) Teorema de Hahn-Banach		21 788

More...

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

The most popular language versions of the article "哈恩-巴拿赫定理" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Hahn–Banach theorem		5 868
2	Japanese (ja) ハーン–バナッハの定理		570
3	German (de) Satz von Hahn-Banach		552
4	French (fr) Théorème de Hahn-Banach		436
5	Russian (ru) Теорема Хана — Банаха		425
6	Spanish (es) Teorema de Hahn–Banach		225
7	Italian (it) Teorema di Hahn-Banach		170
8	Chinese (zh) 哈恩-巴拿赫定理		164
9	Polish (pl) Twierdzenie Hahna-Banacha		161
10	Portuguese (pt) Teorema de Hahn-Banach		123

More...

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

Language versions of the article "哈恩-巴拿赫定理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Hahn–Banach theorem		124
2	French (fr) Théorème de Hahn-Banach		54
3	German (de) Satz von Hahn-Banach		46
4	Italian (it) Teorema di Hahn-Banach		39
5	Russian (ru) Теорема Хана — Банаха		38
6	Hebrew (he) משפט האן-בנך		20
7	Polish (pl) Twierdzenie Hahna-Banacha		19
8	Vietnamese (vi) Định lý Hahn-Banach		19
9	Japanese (ja) ハーン–バナッハの定理		12
10	Spanish (es) Teorema de Hahn–Banach		11

More...

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

Language versions of the article "哈恩-巴拿赫定理" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) مبرهنة هان-باناخ		0
2	Azerbaijani (az) Xan-Banax teoremi		0
3	Catalan (ca) Teorema de Hahn-Banach		0
4	Czech (cs) Hahnova–Banachova věta		0
5	German (de) Satz von Hahn-Banach		0
6	English (en) Hahn–Banach theorem		0
7	Spanish (es) Teorema de Hahn–Banach		0
8	Persian (fa) قضیه هان–باناخ		0
9	French (fr) Théorème de Hahn-Banach		0
10	Hebrew (he) משפט האן-בנך		0

More...

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

Language versions of the article "哈恩-巴拿赫定理" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Hahn–Banach theorem		519
2	French (fr) Théorème de Hahn-Banach		120
3	Chinese (zh) 哈恩-巴拿赫定理		102
4	Japanese (ja) ハーン–バナッハの定理		89
5	German (de) Satz von Hahn-Banach		55
6	Persian (fa) قضیه هان–باناخ		43
7	Ukrainian (uk) Теорема Гана — Банаха		41
8	Spanish (es) Teorema de Hahn–Banach		37
9	Polish (pl) Twierdzenie Hahna-Banacha		27
10	Hebrew (he) משפט האן-בנך		24

More...

#	Language	Value
ar	Arabic مبرهنة هان-باناخ
az	Azerbaijani Xan-Banax teoremi
ca	Catalan Teorema de Hahn-Banach
cs	Czech Hahnova–Banachova věta
de	German Satz von Hahn-Banach
en	English Hahn–Banach theorem
es	Spanish Teorema de Hahn–Banach
fa	Persian قضیه هان–باناخ
fr	French Théorème de Hahn-Banach
he	Hebrew משפט האן-בנך
it	Italian Teorema di Hahn-Banach
ja	Japanese ハーン–バナッハの定理
ko	Korean 한-바나흐 정리
nl	Dutch Stelling van Hahn-Banach
pl	Polish Twierdzenie Hahna-Banacha
pt	Portuguese Teorema de Hahn-Banach
ru	Russian Теорема Хана — Банаха
sv	Swedish Hahn-Banachs sats
uk	Ukrainian Теорема Гана — Банаха
vi	Vietnamese Định lý Hahn-Banach
zh	Chinese 哈恩-巴拿赫定理

Best Rank

Chinese: #139533 05.2010

Global: #161192 01.2019

Best Rank

Chinese: #20920 01.2009

Global: #467 09.2001

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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