Banach space

Banach space - normed vector space that is complete. Article “Banach space” in English Wikipedia has 68.7 points for quality (as of July 1, 2025). The article contains 106 references and 31 sections.

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

Since the creation of article “Banach space”, its content was written by 205 registered users of English Wikipedia and edited by 919 registered Wikipedia users in all languages.

The article is cited 883 times in English Wikipedia and cited 3708 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #150 in July 2001
• Global: #177 in July 2001

The highest popularity rank from 2008:

• Local (English): #77105 in November 2014
• Global: #48475 in July 2022

There are 36 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	Slovenian (sl) Banachov prostor		73.2702
2	English (en) Banach space		68.6707
3	Greek (el) Χώρος Μπάναχ		63.6052
4	Indonesian (id) Ruang Banach		39.2069
5	Galician (gl) Espazo de Banach		38.637
6	Korean (ko) 바나흐 공간		34.5813
7	German (de) Banachraum		29.4794
8	Hebrew (he) מרחב בנך		28.0722
9	Polish (pl) Przestrzeń Banacha		27.3974
10	Spanish (es) Espacio de Banach		25.1836

More...

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

The most popular language versions of the article "Banach space" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Banach space		2 141 789
2	German (de) Banachraum		543 730
3	French (fr) Espace de Banach		404 161
4	Polish (pl) Przestrzeń Banacha		390 545
5	Russian (ru) Банахово пространство		384 764
6	Spanish (es) Espacio de Banach		277 266
7	Italian (it) Spazio di Banach		202 097
8	Japanese (ja) バナッハ空間		195 989
9	Chinese (zh) 巴拿赫空间		114 986
10	Portuguese (pt) Espaço de Banach		53 605

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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 "Banach space" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Banach space		11 395
2	German (de) Banachraum		1 862
3	Russian (ru) Банахово пространство		1 654
4	French (fr) Espace de Banach		1 351
5	Polish (pl) Przestrzeń Banacha		1 209
6	Japanese (ja) バナッハ空間		888
7	Spanish (es) Espacio de Banach		872
8	Italian (it) Spazio di Banach		816
9	Chinese (zh) 巴拿赫空间		480
10	Portuguese (pt) Espaço de Banach		316

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

Language versions of the article "Banach space" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Banach space		205
2	German (de) Banachraum		102
3	French (fr) Espace de Banach		63
4	Italian (it) Spazio di Banach		51
5	Spanish (es) Espacio de Banach		48
6	Polish (pl) Przestrzeń Banacha		48
7	Russian (ru) Банахово пространство		39
8	Dutch (nl) Banachruimte		33
9	Hebrew (he) מרחב בנך		30
10	Japanese (ja) バナッハ空間		30

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

Language versions of the article "Banach space" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	German (de) Banachraum		2
2	Catalan (ca) Espai de Banach		1
3	Spanish (es) Espacio de Banach		1
4	Vietnamese (vi) Không gian Banach		1
5	Arabic (ar) فضاء باناخ		0
6	Bulgarian (bg) Банахово пространство		0
7	Czech (cs) Banachův prostor		0
8	Greek (el) Χώρος Μπάναχ		0
9	English (en) Banach space		0
10	Esperanto (eo) Banaĥa spaco		0

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

Language versions of the article "Banach space" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Banach space		883
2	German (de) Banachraum		376
3	French (fr) Espace de Banach		330
4	Polish (pl) Przestrzeń Banacha		235
5	Japanese (ja) バナッハ空間		223
6	Spanish (es) Espacio de Banach		188
7	Chinese (zh) 巴拿赫空间		167
8	Korean (ko) 바나흐 공간		148
9	Italian (it) Spazio di Banach		143
10	Russian (ru) Банахово пространство		134

More...

#	Language	Value
ar	Arabic فضاء باناخ
bg	Bulgarian Банахово пространство
ca	Catalan Espai de Banach
cs	Czech Banachův prostor
de	German Banachraum
el	Greek Χώρος Μπάναχ
en	English Banach space
eo	Esperanto Banaĥa spaco
es	Spanish Espacio de Banach
et	Estonian Banachi ruum
fa	Persian فضای باناخ
fi	Finnish Banachin avaruus
fr	French Espace de Banach
gl	Galician Espazo de Banach
he	Hebrew מרחב בנך
hu	Hungarian Banach-tér
id	Indonesian Ruang Banach
it	Italian Spazio di Banach
ja	Japanese バナッハ空間
kk	Kazakh Банах кеңістігі
ko	Korean 바나흐 공간
nl	Dutch Banachruimte
nn	Norwegian (Nynorsk) Banachrom
no	Norwegian Banach-rom
pl	Polish Przestrzeń Banacha
pt	Portuguese Espaço de Banach
ro	Romanian Spațiu Banach
ru	Russian Банахово пространство
simple	Simple English Banach space
sk	Slovak Banachov priestor
sl	Slovenian Banachov prostor
sv	Swedish Banachrum
tr	Turkish Banach uzayı
uk	Ukrainian Банахів простір
vi	Vietnamese Không gian Banach
zh	Chinese 巴拿赫空间

Best Rank

English: #77105 11.2014

Global: #48475 07.2022

Best Rank

English: #150 07.2001

Global: #177 07.2001

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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