Bounded operator

Bounded operator - linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non-zero vectors v in X. Article “Bounded operator” in English Wikipedia has 27.3 points for quality (as of July 1, 2025). The article contains 12 references and 11 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 3.03 points.

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 “Bounded operator”, its content was written by 65 registered users of English Wikipedia and edited by 212 registered Wikipedia users in all languages.

The article is cited 626 times in English Wikipedia and cited 1459 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #4130 in February 2004
• Global: #14965 in February 2004

The highest popularity rank from 2008:

• Local (English): #208124 in November 2014
• Global: #222072 in October 2014

There are 15 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) Bounded operator		27.3045
2	Norwegian (no) Begrenset operator		26.0831
3	Ukrainian (uk) Обмежений оператор		25.9559
4	Russian (ru) Ограниченный оператор		25.0859
5	Korean (ko) 유계 작용소		19.9892
6	Italian (it) Operatore limitato		18.0974
7	German (de) Beschränkter Operator		15.5773
8	Spanish (es) Operador lineal acotado		14.4312
9	Polish (pl) Operator liniowy ograniczony		9.3873
10	Portuguese (pt) Operador linear limitado		9.1029

More...

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

The most popular language versions of the article "Bounded operator" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Bounded operator		656 686
2	Polish (pl) Operator liniowy ograniczony		63 637
3	French (fr) Opérateur borné		53 491
4	Spanish (es) Operador lineal acotado		50 256
5	Japanese (ja) 有界作用素		43 666
6	Russian (ru) Ограниченный оператор		43 524
7	German (de) Beschränkter Operator		36 307
8	Italian (it) Operatore limitato		34 875
9	Chinese (zh) 有界算子		16 910
10	Portuguese (pt) Operador linear limitado		15 197

More...

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 "Bounded operator" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Bounded operator		2 643
2	German (de) Beschränkter Operator		234
3	Japanese (ja) 有界作用素		184
4	Polish (pl) Operator liniowy ograniczony		157
5	Russian (ru) Ограниченный оператор		152
6	French (fr) Opérateur borné		137
7	Italian (it) Operatore limitato		126
8	Chinese (zh) 有界算子		113
9	Spanish (es) Operador lineal acotado		90
10	Korean (ko) 유계 작용소		48

More...

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

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

#	Language	AI award	Relative AI
1	English (en) Bounded operator		65
2	Italian (it) Operatore limitato		24
3	French (fr) Opérateur borné		18
4	Japanese (ja) 有界作用素		16
5	Polish (pl) Operator liniowy ograniczony		14
6	Spanish (es) Operador lineal acotado		12
7	Hebrew (he) אופרטור ליניארי חסום		12
8	German (de) Beschränkter Operator		10
9	Russian (ru) Ограниченный оператор		10
10	Chinese (zh) 有界算子		9

More...

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

Language versions of the article "Bounded operator" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	German (de) Beschränkter Operator		0
2	English (en) Bounded operator		0
3	Spanish (es) Operador lineal acotado		0
4	French (fr) Opérateur borné		0
5	Hebrew (he) אופרטור ליניארי חסום		0
6	Italian (it) Operatore limitato		0
7	Japanese (ja) 有界作用素		0
8	Korean (ko) 유계 작용소		0
9	Dutch (nl) Begrensde operator		0
10	Norwegian (no) Begrenset operator		0

More...

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

Language versions of the article "Bounded operator" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Bounded operator		626
2	Japanese (ja) 有界作用素		133
3	Korean (ko) 유계 작용소		128
4	Chinese (zh) 有界算子		116
5	German (de) Beschränkter Operator		81
6	Italian (it) Operatore limitato		66
7	Polish (pl) Operator liniowy ograniczony		66
8	Spanish (es) Operador lineal acotado		60
9	French (fr) Opérateur borné		53
10	Ukrainian (uk) Обмежений оператор		48

More...

#	Language	Value
de	German Beschränkter Operator
en	English Bounded operator
es	Spanish Operador lineal acotado
fr	French Opérateur borné
he	Hebrew אופרטור ליניארי חסום
it	Italian Operatore limitato
ja	Japanese 有界作用素
ko	Korean 유계 작용소
nl	Dutch Begrensde operator
no	Norwegian Begrenset operator
pl	Polish Operator liniowy ograniczony
pt	Portuguese Operador linear limitado
ru	Russian Ограниченный оператор
uk	Ukrainian Обмежений оператор
zh	Chinese 有界算子

Best Rank

English: #208124 11.2014

Global: #222072 10.2014

Best Rank

English: #4130 02.2004

Global: #14965 02.2004

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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