Spectrum (functional analysis)

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Spectrum (functional analysis)

Quality:

Spectrum - term used in functional analysis. Article "Spectrum (functional analysis)" in English Wikipedia has 33.1 points for quality (as of July 1, 2025). The article contains 6 references and 28 sections. The article also contains quality flaw template, which reduce quality score.

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

In June 2025 the article "Spectrum (functional analysis)" was edited by 4 authors in English Wikipedia and written by 4 authors in all languages.

Since the creation of article "Spectrum (functional analysis)", its content was written by 86 registered users of English Wikipedia and edited by 373 registered Wikipedia users in all languages.

The article is cited 383 times in English Wikipedia and cited 1177 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #19860 in April 2003
  • Global: #26173 in April 2003

The highest popularity rank from 2008:

  • Local (English): #245901 in November 2014
  • Global: #185160 in January 2015

There are 19 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
1German (de)
Spektrum (Operatortheorie)
33.5674
2English (en)
Spectrum (functional analysis)
33.0966
3Catalan (ca)
Espectre (matemàtiques)
28.6991
4Danish (da)
Spektrum (funktionsanalyse)
28.5102
5Korean (ko)
스펙트럼 (함수해석학)
27.9548
6Chinese (zh)
谱 (泛函分析)
25.3156
7Italian (it)
Spettro (matematica)
24.2055
8Kazakh (kk)
Оператор спектрі
22.0739
9Spanish (es)
Espectro de un operador
19.7468
10Hebrew (he)
ספקטרום (מתמטיקה)
16.1502
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 "Spectrum (functional analysis)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Spectrum (functional analysis)
596 394
2German (de)
Spektrum (Operatortheorie)
228 267
3Russian (ru)
Спектр оператора
160 567
4Spanish (es)
Espectro de un operador
100 926
5Italian (it)
Spettro (matematica)
91 092
6French (fr)
Spectre d'un opérateur linéaire
70 866
7Polish (pl)
Widmo (matematyka)
59 630
8Japanese (ja)
スペクトル (関数解析学)
53 501
9Portuguese (pt)
Espectro (matemática)
18 934
10Hebrew (he)
ספקטרום (מתמטיקה)
17 650
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 "Spectrum (functional analysis)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Spectrum (functional analysis)
3 303
2German (de)
Spektrum (Operatortheorie)
729
3Russian (ru)
Спектр оператора
585
4Japanese (ja)
スペクトル (関数解析学)
361
5Italian (it)
Spettro (matematica)
328
6Chinese (zh)
谱 (泛函分析)
192
7Spanish (es)
Espectro de un operador
191
8French (fr)
Spectre d'un opérateur linéaire
180
9Polish (pl)
Widmo (matematyka)
172
10Hebrew (he)
ספקטרום (מתמטיקה)
56
More...

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

The highest AI

Language versions of the article "Spectrum (functional analysis)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Spectrum (functional analysis)
86
2German (de)
Spektrum (Operatortheorie)
67
3Russian (ru)
Спектр оператора
45
4Italian (it)
Spettro (matematica)
32
5French (fr)
Spectre d'un opérateur linéaire
27
6Hebrew (he)
ספקטרום (מתמטיקה)
26
7Japanese (ja)
スペクトル (関数解析学)
14
8Polish (pl)
Widmo (matematyka)
12
9Danish (da)
Spektrum (funktionsanalyse)
10
10Swedish (sv)
Spektrum (funktionalanalys)
9
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 "Spectrum (functional analysis)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Spectrum (functional analysis)
4
2Catalan (ca)
Espectre (matemàtiques)
0
3Danish (da)
Spektrum (funktionsanalyse)
0
4German (de)
Spektrum (Operatortheorie)
0
5Spanish (es)
Espectro de un operador
0
6Persian (fa)
طیف (آنالیز تابعی)
0
7French (fr)
Spectre d'un opérateur linéaire
0
8Hebrew (he)
ספקטרום (מתמטיקה)
0
9Italian (it)
Spettro (matematica)
0
10Japanese (ja)
スペクトル (関数解析学)
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 "Spectrum (functional analysis)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Spectrum (functional analysis)
383
2German (de)
Spektrum (Operatortheorie)
136
3Italian (it)
Spettro (matematica)
128
4Chinese (zh)
谱 (泛函分析)
95
5Japanese (ja)
スペクトル (関数解析学)
86
6Russian (ru)
Спектр оператора
67
7French (fr)
Spectre d'un opérateur linéaire
54
8Spanish (es)
Espectro de un operador
52
9Korean (ko)
스펙트럼 (함수해석학)
44
10Polish (pl)
Widmo (matematyka)
33
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
caCatalan
Espectre (matemàtiques)
daDanish
Spektrum (funktionsanalyse)
deGerman
Spektrum (Operatortheorie)
enEnglish
Spectrum (functional analysis)
esSpanish
Espectro de un operador
faPersian
طیف (آنالیز تابعی)
frFrench
Spectre d'un opérateur linéaire
heHebrew
ספקטרום (מתמטיקה)
itItalian
Spettro (matematica)
jaJapanese
スペクトル (関数解析学)
kkKazakh
Оператор спектрі
koKorean
스펙트럼 (함수해석학)
nlDutch
Spectrum (functionaalanalyse)
plPolish
Widmo (matematyka)
ptPortuguese
Espectro (matemática)
ruRussian
Спектр оператора
svSwedish
Spektrum (funktionalanalys)
ukUkrainian
Спектр оператора
zhChinese
谱 (泛函分析)

Popularity rank trends

Best Rank English:
#245901
11.2014
Global:
#185160
01.2015

AI rank trends

Best Rank English:
#19860
04.2003
Global:
#26173
04.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Spectrum from Wikipedia articles about Spectral theory, Hamiltonian operator, Spectral radius, Spectral theorem and Gershgorin circle theorem. Whereas reading the article about Spectrum people most often go to Wikipedia articles on Decomposition of spectrum, Spectral theory, Bounded operator, Eigenvectors and eigenvalues and Closed graph theorem.

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