Operator theory

en

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Operator theory

Quality:

Operator theory - mathematical study of linear operators on function spaces, such as differential operators and integral operators. Article "Operator theory" in English Wikipedia has 23.4 points for quality (as of July 1, 2025). The article contains 5 references and 10 sections.

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

Since the creation of article "Operator theory", its content was written by 40 registered users of English Wikipedia and edited by 176 registered Wikipedia users in all languages.

The article is cited 328 times in English Wikipedia and cited 962 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #60836 in June 2004
  • Global: #103699 in February 2010

The highest popularity rank from 2008:

  • Local (English): #281373 in September 2014
  • Global: #363220 in September 2014

There are 15 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
1German (de)
Operatorenrechnung
29.3132
2Chinese (zh)
算子理论
26.6799
3English (en)
Operator theory
23.3781
4Arabic (ar)
نظرية المؤثرات
17.5072
5Spanish (es)
Teoría de operadores
16.9782
6Japanese (ja)
作用素論
10.9061
7Dutch (nl)
Operatorentheorie
8.7862
8Korean (ko)
연산자 이론
8.2724
9Persian (fa)
نظریه عملگرها
8.0079
10Kazakh (kk)
Операторлар теориясы
7.8222
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 "Operator theory" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Operator theory
476 615
2Russian (ru)
Теория операторов
70 659
3Persian (fa)
نظریه عملگرها
30 537
4German (de)
Operatorenrechnung
27 834
5Japanese (ja)
作用素論
18 620
6Dutch (nl)
Operatorentheorie
17 524
7Portuguese (pt)
Teoria dos operadores
17 352
8Kazakh (kk)
Операторлар теориясы
12 306
9Korean (ko)
연산자 이론
10 482
10Ukrainian (uk)
Теорія операторів
6 787
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 "Operator theory" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Operator theory
2 122
2Russian (ru)
Теория операторов
231
3Chinese (zh)
算子理论
142
4Spanish (es)
Teoría de operadores
128
5Japanese (ja)
作用素論
116
6German (de)
Operatorenrechnung
95
7Persian (fa)
نظریه عملگرها
59
8Korean (ko)
연산자 이론
51
9Italian (it)
Teoria degli operatori
45
10Dutch (nl)
Operatorentheorie
33
More...

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

The highest AI

Language versions of the article "Operator theory" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Operator theory
40
2Russian (ru)
Теория операторов
29
3German (de)
Operatorenrechnung
22
4Dutch (nl)
Operatorentheorie
17
5Vietnamese (vi)
Lý thuyết toán tử
14
6Japanese (ja)
作用素論
11
7Persian (fa)
نظریه عملگرها
10
8Italian (it)
Teoria degli operatori
6
9Ukrainian (uk)
Теорія операторів
6
10Korean (ko)
연산자 이론
5
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 "Operator theory" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
نظرية المؤثرات
0
2German (de)
Operatorenrechnung
0
3English (en)
Operator theory
0
4Spanish (es)
Teoría de operadores
0
5Persian (fa)
نظریه عملگرها
0
6Italian (it)
Teoria degli operatori
0
7Japanese (ja)
作用素論
0
8Kazakh (kk)
Операторлар теориясы
0
9Korean (ko)
연산자 이론
0
10Dutch (nl)
Operatorentheorie
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 "Operator theory" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Operator theory
328
2Chinese (zh)
算子理论
140
3Arabic (ar)
نظرية المؤثرات
81
4Persian (fa)
نظریه عملگرها
80
5Portuguese (pt)
Teoria dos operadores
73
6Russian (ru)
Теория операторов
41
7Italian (it)
Teoria degli operatori
39
8Japanese (ja)
作用素論
36
9Korean (ko)
연산자 이론
32
10Dutch (nl)
Operatorentheorie
30
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
نظرية المؤثرات
deGerman
Operatorenrechnung
enEnglish
Operator theory
esSpanish
Teoría de operadores
faPersian
نظریه عملگرها
itItalian
Teoria degli operatori
jaJapanese
作用素論
kkKazakh
Операторлар теориясы
koKorean
연산자 이론
nlDutch
Operatorentheorie
ptPortuguese
Teoria dos operadores
ruRussian
Теория операторов
ukUkrainian
Теорія операторів
viVietnamese
Lý thuyết toán tử
zhChinese
算子理论

Popularity rank trends

Best Rank English:
#281373
09.2014
Global:
#363220
09.2014

AI rank trends

Best Rank English:
#60836
06.2004
Global:
#103699
02.2010

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Operator theory from Wikipedia articles about Hermitian adjoint, Spectral theorem, John von Neumann, Functional analysis and Bounded operator. Whereas reading the article about Operator theory people most often go to Wikipedia articles on Linear map, Operator algebra, Functional analysis, C*-algebra and Differential operator.

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