Densely defined operator

en

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Densely defined operator

Quality:

Densely defined operator - Function that is defined almost everywhere (mathematics). Article “Densely defined operator” in English Wikipedia has 7.4 points for quality (as of July 1, 2025). The article contains 0 references and 4 sections.

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

Since the creation of article “Densely defined operator”, its content was written by 26 registered users of English Wikipedia and edited by 34 registered Wikipedia users in all languages.

The article is cited 244 times in English Wikipedia and cited 262 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #110809 in March 2008
  • Global: #294779 in March 2008

The highest popularity rank from 2008:

  • Local (English): #766649 in October 2011
  • Global: #1140598 in August 2012

There are 3 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
1Spanish (es)
Operador densamente definido
8.1898
2English (en)
Densely defined operator
7.3719
3Japanese (ja)
稠密に定義された作用素
2.6909
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 "Densely defined operator" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Densely defined operator
76 661
2Japanese (ja)
稠密に定義された作用素
6 772
3Spanish (es)
Operador densamente definido
149
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 "Densely defined operator" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Densely defined operator
450
2Japanese (ja)
稠密に定義された作用素
36
3Spanish (es)
Operador densamente definido
10
More...

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

The highest AI

Language versions of the article "Densely defined operator" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Densely defined operator
26
2Japanese (ja)
稠密に定義された作用素
6
3Spanish (es)
Operador densamente definido
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 "Densely defined operator" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Spanish (es)
Operador densamente definido
1
2English (en)
Densely defined operator
0
3Japanese (ja)
稠密に定義された作用素
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 "Densely defined operator" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Densely defined operator
244
2Japanese (ja)
稠密に定義された作用素
15
3Spanish (es)
Operador densamente definido
3
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
enEnglish
Densely defined operator
esSpanish
Operador densamente definido
jaJapanese
稠密に定義された作用素

Popularity rank trends

Best Rank English:
#766649
10.2011
Global:
#1140598
08.2012

AI rank trends

Best Rank English:
#110809
03.2008
Global:
#294779
03.2008

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Densely defined operator from Wikipedia articles about Hermitian adjoint, Self-adjoint operator, Partial function, Closed operator and Closed range theorem. Whereas reading the article about Densely defined operator people most often go to Wikipedia articles on Dense set, Closed operator, Closed graph theorem, Blumberg theorem and Hermitian adjoint.

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