Positive operator

en

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Positive 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 “Positive operator” in English Wikipedia has 14.1 points for quality (as of July 1, 2025). The article contains 2 references and 6 sections.

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

Since the creation of article “Positive operator”, its content was written by 39 registered users of English Wikipedia and edited by 61 registered Wikipedia users in all languages.

The article is cited 38 times in English Wikipedia and cited 67 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #25338 in February 2004
  • Global: #50344 in February 2004

The highest popularity rank from 2008:

  • Local (English): #554097 in April 2023
  • Global: #860151 in April 2023

There are 6 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
1Russian (ru)
Положительный оператор (гильбертово пространство)
31.062
2English (en)
Positive operator
14.0696
3Czech (cs)
Pozitivní operátor
2.6107
4Portuguese (pt)
Operador positivo
1.4821
5Esperanto (eo)
Pozitiva ero
1.2752
6Spanish (es)
Elemento positivo
0.1468
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 "Positive operator" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Positive operator
146 588
2Russian (ru)
Положительный оператор (гильбертово пространство)
22 332
3Spanish (es)
Elemento positivo
15 480
4Portuguese (pt)
Operador positivo
8 106
5Esperanto (eo)
Pozitiva ero
2 606
6Czech (cs)
Pozitivní operátor
2 116
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 "Positive operator" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Positive operator
1 559
2Russian (ru)
Положительный оператор (гильбертово пространство)
97
3Esperanto (eo)
Pozitiva ero
19
4Spanish (es)
Elemento positivo
18
5Portuguese (pt)
Operador positivo
16
6Czech (cs)
Pozitivní operátor
6
More...

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

The highest AI

Language versions of the article "Positive operator" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Positive operator
39
2Spanish (es)
Elemento positivo
8
3Esperanto (eo)
Pozitiva ero
6
4Portuguese (pt)
Operador positivo
3
5Russian (ru)
Положительный оператор (гильбертово пространство)
3
6Czech (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 2025

Language versions of the article "Positive operator" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Czech (cs)
Pozitivní operátor
0
2English (en)
Positive operator
0
3Esperanto (eo)
Pozitiva ero
0
4Spanish (es)
Elemento positivo
0
5Portuguese (pt)
Operador positivo
0
6Russian (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 "Positive operator" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Positive operator
38
2Spanish (es)
Elemento positivo
8
3Portuguese (pt)
Operador positivo
6
4Russian (ru)
Положительный оператор (гильбертово пространство)
6
5Czech (cs)
Pozitivní operátor
5
6Esperanto (eo)
Pozitiva ero
4
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
csCzech
Pozitivní operátor
enEnglish
Positive operator
eoEsperanto
Pozitiva ero
esSpanish
Elemento positivo
ptPortuguese
Operador positivo
ruRussian
Положительный оператор (гильбертово пространство)

Popularity rank trends

Best Rank English:
#554097
04.2023
Global:
#860151
04.2023

AI rank trends

Best Rank English:
#25338
02.2004
Global:
#50344
02.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Positive element from Wikipedia articles about Positive semidefinite, Positive definiteness, Normal operator, Self-adjoint operator and Trace class 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 Inner product space.

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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In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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