Trace class

en

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Trace class

Quality:

Trace class operator - compact operator for which a finite trace can be defined. Article “Trace class” in English Wikipedia has 42.8 points for quality (as of July 1, 2025). The article contains 25 references and 14 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Trace class”, its content was written by 59 registered users of English Wikipedia and edited by 128 registered Wikipedia users in all languages.

The article is cited 494 times in English Wikipedia and cited 742 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #3287 in March 2003
  • Global: #6654 in March 2003

The highest popularity rank from 2008:

  • Local (English): #352522 in August 2014
  • Global: #492576 in November 2014

There are 9 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)
Trace class
42.8061
2Portuguese (pt)
Classe tracial
23.406
3Polish (pl)
Operator śladowy
20.4809
4German (de)
Spurklasseoperator
19.1351
5Chinese (zh)
迹类算子
18.0542
6Italian (it)
Classe traccia
15.3504
7Spanish (es)
Operador de clase de traza
9.968
8French (fr)
Classe trace
9.0556
9Japanese (ja)
トレースクラス
8.1004
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 "Trace class" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Trace class
321 222
2German (de)
Spurklasseoperator
50 960
3Spanish (es)
Operador de clase de traza
18 592
4French (fr)
Classe trace
12 659
5Japanese (ja)
トレースクラス
12 407
6Italian (it)
Classe traccia
7 115
7Chinese (zh)
迹类算子
4 292
8Portuguese (pt)
Classe tracial
3 613
9Polish (pl)
Operator śladowy
1 238
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 "Trace class" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Trace class
1 826
2Japanese (ja)
トレースクラス
125
3German (de)
Spurklasseoperator
124
4Chinese (zh)
迹类算子
60
5French (fr)
Classe trace
55
6Spanish (es)
Operador de clase de traza
45
7Italian (it)
Classe traccia
25
8Portuguese (pt)
Classe tracial
14
9Polish (pl)
Operator śladowy
9
More...

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

The highest AI

Language versions of the article "Trace class" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Trace class
59
2German (de)
Spurklasseoperator
25
3French (fr)
Classe trace
11
4Italian (it)
Classe traccia
11
5Spanish (es)
Operador de clase de traza
8
6Japanese (ja)
トレースクラス
7
7Chinese (zh)
迹类算子
4
8Polish (pl)
Operator śladowy
2
9Portuguese (pt)
Classe tracial
1
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 "Trace class" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Spurklasseoperator
0
2English (en)
Trace class
0
3Spanish (es)
Operador de clase de traza
0
4French (fr)
Classe trace
0
5Italian (it)
Classe traccia
0
6Japanese (ja)
トレースクラス
0
7Polish (pl)
Operator śladowy
0
8Portuguese (pt)
Classe tracial
0
9Chinese (zh)
迹类算子
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 "Trace class" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Trace class
494
2Chinese (zh)
迹类算子
94
3Japanese (ja)
トレースクラス
59
4German (de)
Spurklasseoperator
45
5Spanish (es)
Operador de clase de traza
17
6French (fr)
Classe trace
14
7Italian (it)
Classe traccia
10
8Portuguese (pt)
Classe tracial
6
9Polish (pl)
Operator śladowy
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
deGerman
Spurklasseoperator
enEnglish
Trace class
esSpanish
Operador de clase de traza
frFrench
Classe trace
itItalian
Classe traccia
jaJapanese
トレースクラス
plPolish
Operator śladowy
ptPortuguese
Classe tracial
zhChinese
迹类算子

Popularity rank trends

Best Rank English:
#352522
08.2014
Global:
#492576
11.2014

AI rank trends

Best Rank English:
#3287
03.2003
Global:
#6654
03.2003

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 Trace class operator from Wikipedia articles about Hilbert–Schmidt operator, Trace, Fredholm determinant, Schatten norm and Weinstein–Aronszajn identity. Whereas reading the article about Trace class operator people most often go to Wikipedia articles on Nuclear operator, Hilbert–Schmidt operator, Trace, Compact operator and Trace 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