Фредгольмов оператор

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Фредгольмов оператор

Quality:

Fredholm operator - bounded operator with kernel and cokernel both having finite dimension. Article "Фредгольмов оператор" in Russian Wikipedia has 5.4 points for quality (as of July 1, 2025). The article contains 0 references and 5 sections. The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "Фредгольмов оператор", its content was written by 26 registered users of Russian Wikipedia and edited by 151 registered Wikipedia users in all languages.

The article is cited 22 times in Russian Wikipedia and cited 302 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #2909 in November 2006
  • Global: #44678 in April 2005

The highest popularity rank from 2008:

  • Local (Russian): #140633 in January 2008
  • Global: #617161 in November 2014

There are 10 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)
Fredholm-Operator
39.4368
2Polish (pl)
Operator Fredholma
23.2189
3Portuguese (pt)
Operador de Fredholm
21.8444
4English (en)
Fredholm operator
17.3903
5Korean (ko)
프레드홀름 작용소
16.2453
6Italian (it)
Operatore di Fredholm
10.9485
7Ukrainian (uk)
Оператор Фредгольма
9.0753
8Japanese (ja)
フレドホルム作用素
8.2756
9Russian (ru)
Фредгольмов оператор
5.4277
10French (fr)
Opérateur de Fredholm
3.5022
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 "Фредгольмов оператор" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fredholm operator
226 889
2German (de)
Fredholm-Operator
50 913
3French (fr)
Opérateur de Fredholm
23 157
4Russian (ru)
Фредгольмов оператор
23 059
5Japanese (ja)
フレドホルム作用素
15 433
6Italian (it)
Operatore di Fredholm
6 142
7Korean (ko)
프레드홀름 작용소
3 310
8Polish (pl)
Operator Fredholma
1 801
9Portuguese (pt)
Operador de Fredholm
431
10Ukrainian (uk)
Оператор Фредгольма
206
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 "Фредгольмов оператор" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Fredholm operator
1 172
2German (de)
Fredholm-Operator
155
3Japanese (ja)
フレドホルム作用素
108
4Russian (ru)
Фредгольмов оператор
94
5French (fr)
Opérateur de Fredholm
88
6Italian (it)
Operatore di Fredholm
40
7Polish (pl)
Operator Fredholma
17
8Portuguese (pt)
Operador de Fredholm
8
9Ukrainian (uk)
Оператор Фредгольма
4
10Korean (ko)
프레드홀름 작용소
1
More...

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

The highest AI

Language versions of the article "Фредгольмов оператор" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fredholm operator
48
2German (de)
Fredholm-Operator
33
3Russian (ru)
Фредгольмов оператор
26
4French (fr)
Opérateur de Fredholm
14
5Italian (it)
Operatore di Fredholm
8
6Japanese (ja)
フレドホルム作用素
8
7Korean (ko)
프레드홀름 작용소
5
8Polish (pl)
Operator Fredholma
4
9Ukrainian (uk)
Оператор Фредгольма
3
10Portuguese (pt)
Operador de Fredholm
2
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 "Фредгольмов оператор" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Fredholm operator
1
2Polish (pl)
Operator Fredholma
1
3German (de)
Fredholm-Operator
0
4French (fr)
Opérateur de Fredholm
0
5Italian (it)
Operatore di Fredholm
0
6Japanese (ja)
フレドホルム作用素
0
7Korean (ko)
프레드홀름 작용소
0
8Portuguese (pt)
Operador de Fredholm
0
9Russian (ru)
Фредгольмов оператор
0
10Ukrainian (uk)
Оператор Фредгольма
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 "Фредгольмов оператор" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Fredholm operator
126
2Japanese (ja)
フレドホルム作用素
57
3German (de)
Fredholm-Operator
34
4French (fr)
Opérateur de Fredholm
23
5Korean (ko)
프레드홀름 작용소
22
6Russian (ru)
Фредгольмов оператор
22
7Italian (it)
Operatore di Fredholm
11
8Ukrainian (uk)
Оператор Фредгольма
3
9Polish (pl)
Operator Fredholma
2
10Portuguese (pt)
Operador de Fredholm
2
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
deGerman
Fredholm-Operator
enEnglish
Fredholm operator
frFrench
Opérateur de Fredholm
itItalian
Operatore di Fredholm
jaJapanese
フレドホルム作用素
koKorean
프레드홀름 작용소
plPolish
Operator Fredholma
ptPortuguese
Operador de Fredholm
ruRussian
Фредгольмов оператор
ukUkrainian
Оператор Фредгольма

Popularity rank trends

Best Rank Russian:
#140633
01.2008
Global:
#617161
11.2014

AI rank trends

Best Rank Russian:
#2909
11.2006
Global:
#44678
04.2005

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Fredholm operator from Wikipedia articles about Compact operator, Essential spectrum, Fredholm alternative, Atiyah–Singer index theorem and Fredholm theory. Whereas reading the article about Fredholm operator people most often go to Wikipedia articles on Fredholm theory, Cokernel, Erik Ivar Fredholm, Atiyah–Singer index theorem and Parametrix.

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