Functional analysis

en

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Functional analysis

Quality:

Functional analysis - branch of mathematical analysis concerned with infinite-dimensional topological vector spaces, often spaces of functions. Article "Functional analysis" in English Wikipedia has 34.9 points for quality (as of July 1, 2025). The article contains 10 references and 17 sections. The article also contains quality flaw template, which reduce quality score.

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 "Functional analysis", its content was written by 161 registered users of English Wikipedia and edited by 934 registered Wikipedia users in all languages.

The article is cited 1296 times in English Wikipedia and cited 8227 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #335 in September 2001
  • Global: #431 in September 2001

The highest popularity rank from 2008:

  • Local (English): #43159 in July 2022
  • Global: #31966 in July 2022

There are 42 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)
Functional analysis
34.9422
2Hungarian (hu)
Funkcionálanalízis
34.8194
3Simple English (simple)
Functional analysis
29.0358
4Greek (el)
Συναρτησιακή ανάλυση
27.9779
5Japanese (ja)
関数解析学
27.8026
6Romanian (ro)
Analiză funcțională
25.0253
7Serbian (sr)
Funkcionalna analiza
23.9731
8Slovak (sk)
Funkcionálna analýza
23.3786
9Estonian (et)
Funktsionaalanalüüs
22.4189
10Chinese (zh)
泛函分析
21.5978
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 "Functional analysis" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Functional analysis
2 290 264
2Spanish (es)
Análisis funcional
490 167
3Russian (ru)
Функциональный анализ
442 197
4German (de)
Funktionalanalysis
370 545
5Chinese (zh)
泛函分析
270 828
6Polish (pl)
Analiza funkcjonalna
261 172
7French (fr)
Analyse fonctionnelle (mathématiques)
248 577
8Japanese (ja)
関数解析学
225 756
9Italian (it)
Analisi funzionale
214 871
10Portuguese (pt)
Análise funcional
105 103
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 "Functional analysis" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Functional analysis
7 319
2Russian (ru)
Функциональный анализ
1 302
3Chinese (zh)
泛函分析
983
4German (de)
Funktionalanalysis
916
5Japanese (ja)
関数解析学
840
6French (fr)
Analyse fonctionnelle (mathématiques)
782
7Spanish (es)
Análisis funcional
766
8Italian (it)
Analisi funzionale
628
9Polish (pl)
Analiza funkcjonalna
579
10Portuguese (pt)
Análise funcional
231
More...

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

The highest AI

Language versions of the article "Functional analysis" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Functional analysis
161
2Russian (ru)
Функциональный анализ
82
3French (fr)
Analyse fonctionnelle (mathématiques)
70
4German (de)
Funktionalanalysis
68
5Italian (it)
Analisi funzionale
62
6Hebrew (he)
אנליזה פונקציונלית
44
7Dutch (nl)
Functionaalanalyse
41
8Polish (pl)
Analiza funkcjonalna
40
9Japanese (ja)
関数解析学
35
10Vietnamese (vi)
Giải tích hàm
28
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 "Functional analysis" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Belarusian (be)
Функцыянальны аналіз
1
2German (de)
Funktionalanalysis
1
3Persian (fa)
آنالیز تابعی
1
4French (fr)
Analyse fonctionnelle (mathématiques)
1
5Hebrew (he)
אנליזה פונקציונלית
1
6Hungarian (hu)
Funkcionálanalízis
1
7Japanese (ja)
関数解析学
1
8Arabic (ar)
تحليل دالي
0
9Bulgarian (bg)
Функционален анализ
0
10Catalan (ca)
Anàlisi funcional
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 "Functional analysis" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Functional analysis
1 296
2German (de)
Funktionalanalysis
687
3French (fr)
Analyse fonctionnelle (mathématiques)
543
4Russian (ru)
Функциональный анализ
457
5Japanese (ja)
関数解析学
436
6Polish (pl)
Analiza funkcjonalna
425
7Italian (it)
Analisi funzionale
380
8Ukrainian (uk)
Функціональний аналіз
356
9Portuguese (pt)
Análise funcional
317
10Spanish (es)
Análisis funcional
312
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
arArabic
تحليل دالي
beBelarusian
Функцыянальны аналіз
bgBulgarian
Функционален анализ
caCatalan
Anàlisi funcional
csCzech
Funkcionální analýza
daDanish
Funktionalanalyse
deGerman
Funktionalanalysis
elGreek
Συναρτησιακή ανάλυση
enEnglish
Functional analysis
esSpanish
Análisis funcional
etEstonian
Funktsionaalanalüüs
euBasque
Analisi funtzional
faPersian
آنالیز تابعی
fiFinnish
Funktionaalianalyysi
frFrench
Analyse fonctionnelle (mathématiques)
glGalician
Análise funcional
heHebrew
אנליזה פונקציונלית
hiHindi
फलन विश्लेषण
huHungarian
Funkcionálanalízis
hyArmenian
Ֆունկցիոնալ անալիզ
idIndonesian
Analisis fungsional
itItalian
Analisi funzionale
jaJapanese
関数解析学
kaGeorgian
ფუნქციონალური ანალიზი
kkKazakh
Функционалдық талдау
koKorean
함수해석학
msMalay
Analisis fungsi
nlDutch
Functionaalanalyse
nnNorwegian (Nynorsk)
Funksjonalanalyse
noNorwegian
Funksjonalanalyse
plPolish
Analiza funkcjonalna
ptPortuguese
Análise funcional
roRomanian
Analiză funcțională
ruRussian
Функциональный анализ
simpleSimple English
Functional analysis
skSlovak
Funkcionálna analýza
srSerbian
Funkcionalna analiza
svSwedish
Funktionalanalys
trTurkish
Fonksiyonel analiz
ukUkrainian
Функціональний аналіз
viVietnamese
Giải tích hàm
zhChinese
泛函分析

Popularity rank trends

Best Rank English:
#43159
07.2022
Global:
#31966
07.2022

AI rank trends

Best Rank English:
#335
09.2001
Global:
#431
09.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Functional analysis from Wikipedia articles about Mathematical analysis, Stefan Banach, Banach space, John von Neumann and Linear algebra. Whereas reading the article about Functional analysis people most often go to Wikipedia articles on Mathematical analysis, Hahn–Banach theorem, Function space, List of functional analysis topics and Hilbert space.

Cumulative results of quality and popularity of the Wikipedia article

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

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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