Operator samosprzężony

Self-adjoint operator - densely defined operator on a Hilbert space whose domain coincides with that of its adjoint and which equals its adjoint; symmetric operator whose adjoint's domain equals its own domain. Article “Operator samosprzężony” in Polish Wikipedia has 7.5 points for quality (as of July 1, 2025). The article contains 0 references and 5 sections.

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

Since the creation of article “Operator samosprzężony”, its content was written by 7 registered users of Polish Wikipedia and edited by 336 registered Wikipedia users in all languages.

The article is cited 43 times in Polish Wikipedia and cited 1201 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Polish): #15548 in April 2018
• Global: #27931 in February 2003

The highest popularity rank from 2008:

• Local (Polish): #71474 in June 2024
• Global: #96097 in November 2014

There are 13 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.

#	Language	Quality grade	Quality score
1	English (en) Self-adjoint operator		52.2022
2	German (de) Selbstadjungierter Operator		33.436
3	Italian (it) Operatore autoaggiunto		32.5542
4	Czech (cs) Samoadjungovaný operátor		29.3277
5	Greek (el) Αυτοσυζυγής τελεστής		24.3371
6	Portuguese (pt) Operador autoadjunto		14.5746
7	French (fr) Endomorphisme autoadjoint		13.7763
8	Korean (ko) 자기 수반 작용소		13.4015
9	Chinese (zh) 自伴算子		7.5295
10	Polish (pl) Operator samosprzężony		7.4973

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Operator samosprzężony" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Self-adjoint operator		1 839 504
2	German (de) Selbstadjungierter Operator		252 658
3	Italian (it) Operatore autoaggiunto		238 596
4	French (fr) Endomorphisme autoadjoint		211 766
5	Japanese (ja) エルミート作用素		205 797
6	Chinese (zh) 自伴算子		155 680
7	Portuguese (pt) Operador autoadjunto		67 446
8	Polish (pl) Operator samosprzężony		24 724
9	Korean (ko) 자기 수반 작용소		12 958
10	Greek (el) Αυτοσυζυγής τελεστής		10 670

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

The most popular language versions of the article "Operator samosprzężony" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Self-adjoint operator		6 284
2	Japanese (ja) エルミート作用素		682
3	French (fr) Endomorphisme autoadjoint		666
4	German (de) Selbstadjungierter Operator		614
5	Italian (it) Operatore autoaggiunto		595
6	Chinese (zh) 自伴算子		584
7	Polish (pl) Operator samosprzężony		339
8	Portuguese (pt) Operador autoadjunto		269
9	Czech (cs) Samoadjungovaný operátor		56
10	Greek (el) Αυτοσυζυγής τελεστής		47

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

Language versions of the article "Operator samosprzężony" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Self-adjoint operator		142
2	German (de) Selbstadjungierter Operator		38
3	Italian (it) Operatore autoaggiunto		37
4	French (fr) Endomorphisme autoadjoint		27
5	Japanese (ja) エルミート作用素		26
6	Portuguese (pt) Operador autoadjunto		18
7	Chinese (zh) 自伴算子		17
8	Greek (el) Αυτοσυζυγής τελεστής		9
9	Korean (ko) 자기 수반 작용소		7
10	Polish (pl) Operator samosprzężony		7

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

Language versions of the article "Operator samosprzężony" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) مؤثر مساعد ذاتي		0
2	Czech (cs) Samoadjungovaný operátor		0
3	German (de) Selbstadjungierter Operator		0
4	Greek (el) Αυτοσυζυγής τελεστής		0
5	English (en) Self-adjoint operator		0
6	Persian (fa) عملگر خودالحاقی		0
7	French (fr) Endomorphisme autoadjoint		0
8	Italian (it) Operatore autoaggiunto		0
9	Japanese (ja) エルミート作用素		0
10	Korean (ko) 자기 수반 작용소		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Operator samosprzężony" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Self-adjoint operator		394
2	Chinese (zh) 自伴算子		160
3	Japanese (ja) エルミート作用素		148
4	German (de) Selbstadjungierter Operator		114
5	French (fr) Endomorphisme autoadjoint		104
6	Italian (it) Operatore autoaggiunto		96
7	Korean (ko) 자기 수반 작용소		66
8	Polish (pl) Operator samosprzężony		43
9	Portuguese (pt) Operador autoadjunto		34
10	Persian (fa) عملگر خودالحاقی		14

More...

#	Language	Value
ar	Arabic مؤثر مساعد ذاتي
cs	Czech Samoadjungovaný operátor
de	German Selbstadjungierter Operator
el	Greek Αυτοσυζυγής τελεστής
en	English Self-adjoint operator
fa	Persian عملگر خودالحاقی
fr	French Endomorphisme autoadjoint
it	Italian Operatore autoaggiunto
ja	Japanese エルミート作用素
ko	Korean 자기 수반 작용소
pl	Polish Operator samosprzężony
pt	Portuguese Operador autoadjunto
zh	Chinese 自伴算子

Best Rank

Polish: #71474 06.2024

Global: #96097 11.2014

Best Rank

Polish: #15548 04.2018

Global: #27931 02.2003

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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