Positiver Operator

de

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Positiver Operator

Quality:

Positive element - self-adjoint (or Hermitian) element A of a C*-algebra A is called positive if its spectrum σ (A) consists of non-negative real numbers. Article “Positiver Operator” in German Wikipedia has 6.7 points for quality (as of July 1, 2026). The article contains 0 references and 5 sections.

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

Since the creation of article “Positiver Operator”, its content was written by 15 registered users of German Wikipedia and edited by 78 registered Wikipedia users in all languages.

The article is cited 34 times in German Wikipedia and cited 100 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #31549 in February 2008
  • Global: #50407 in February 2004

The highest popularity rank from 2008:

  • Local (German): #353289 in June 2018
  • Global: #828467 in April 2023

There are 7 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, 2026 (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
1Russian (ru)
Положительный оператор (гильбертово пространство)
31.0296
2English (en)
Positive operator
14.0427
3German (de)
Positiver Operator
6.6971
4Czech (cs)
Pozitivní operátor
2.5995
5Portuguese (pt)
Operador positivo
1.4758
6Esperanto (eo)
Pozitiva ero
1.2696
7Spanish (es)
Elemento positivo
0.1415
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 "Positiver Operator" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Positive operator
98 049
2German (de)
Positiver Operator
27 575
3Russian (ru)
Положительный оператор (гильбертово пространство)
22 942
4Spanish (es)
Elemento positivo
15 659
5Portuguese (pt)
Operador positivo
8 206
6Esperanto (eo)
Pozitiva ero
2 617
7Czech (cs)
Pozitivní operátor
2 284
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2026

The most popular language versions of the article "Positiver Operator" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Positive operator
791
2Russian (ru)
Положительный оператор (гильбертово пространство)
46
3German (de)
Positiver Operator
37
4Spanish (es)
Elemento positivo
18
5Portuguese (pt)
Operador positivo
10
6Czech (cs)
Pozitivní operátor
6
7Esperanto (eo)
Pozitiva ero
0
More...

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

The highest AI

Language versions of the article "Positiver Operator" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Positive operator
40
2German (de)
Positiver Operator
15
3Spanish (es)
Elemento positivo
8
4Esperanto (eo)
Pozitiva ero
6
5Russian (ru)
Положительный оператор (гильбертово пространство)
4
6Portuguese (pt)
Operador positivo
3
7Czech (cs)
Pozitivní operátor
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 2026

Language versions of the article "Positiver Operator" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Czech (cs)
Pozitivní operátor
0
2German (de)
Positiver Operator
0
3English (en)
Positive operator
0
4Esperanto (eo)
Pozitiva ero
0
5Spanish (es)
Elemento positivo
0
6Portuguese (pt)
Operador positivo
0
7Russian (ru)
Положительный оператор (гильбертово пространство)
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 "Positiver Operator" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Positive operator
38
2German (de)
Positiver Operator
34
3Spanish (es)
Elemento positivo
7
4Portuguese (pt)
Operador positivo
6
5Russian (ru)
Положительный оператор (гильбертово пространство)
6
6Czech (cs)
Pozitivní operátor
5
7Esperanto (eo)
Pozitiva ero
4
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in June 2026:
German:
Global:
Popularity in all years:
German:
Global:
Authors in June 2026:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
csCzech
Pozitivní operátor
deGerman
Positiver Operator
enEnglish
Positive operator
eoEsperanto
Pozitiva ero
esSpanish
Elemento positivo
ptPortuguese
Operador positivo
ruRussian
Положительный оператор (гильбертово пространство)

Popularity rank trends

Best Rank German:
#353289
06.2018
Global:
#828467
04.2023

AI rank trends

Best Rank German:
#31549
02.2008
Global:
#50407
02.2004

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Positive element from Wikipedia articles about Positive semidefinite, Positive definiteness, Trace class operator, Self-adjoint operator and Normal operator. Whereas reading the article about Positive element people most often go to Wikipedia articles on Self-adjoint operator, Density matrix, Polarization identity, Hellinger–Toeplitz theorem and Operator theory.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In German Wikipedia the most popular articles on that day were: Demokratische Republik Kongo, Fußball-Weltmeisterschaft 2026, Senegal, Julian Nagelsmann, Erling Haaland, Sadio Mané, Fußball-Weltmeisterschaft 1994, Jürgen Klopp, Fußball-Europameisterschaft 2028, Fußball-Weltmeisterschaft.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information