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, 2026). The article contains 6 references and 28 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.74 points.

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

Since the creation of article “Spectrum (functional analysis)”, its content was written by 88 registered users of English Wikipedia and edited by 380 registered Wikipedia users in all languages.

The article is cited 379 times in English Wikipedia and cited 1190 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #19837 in April 2003
  • Global: #26175 in April 2003

The highest popularity rank from 2008:

  • Local (English): #247179 in November 2014
  • Global: #183610 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, 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
1German (de)
Spektrum (Operatortheorie)
33.2198
2English (en)
Spectrum (functional analysis)
33.0589
3Catalan (ca)
Espectre (matemàtiques)
28.7193
4Danish (da)
Spektrum (funktionsanalyse)
28.5095
5Korean (ko)
스펙트럼 (함수해석학)
27.9917
6Chinese (zh)
谱 (泛函分析)
25.2768
7Italian (it)
Spettro (matematica)
24.1321
8Kazakh (kk)
Оператор спектрі
20.9698
9Spanish (es)
Espectro de un operador
19.5917
10Hebrew (he)
ספקטרום (מתמטיקה)
16.06
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)
625 108
2German (de)
Spektrum (Operatortheorie)
235 378
3Russian (ru)
Спектр оператора
171 778
4Spanish (es)
Espectro de un operador
102 544
5Italian (it)
Spettro (matematica)
93 547
6French (fr)
Spectre d'un opérateur linéaire
73 280
7Polish (pl)
Widmo (matematyka)
60 564
8Japanese (ja)
スペクトル (関数解析学)
56 776
9Chinese (zh)
谱 (泛函分析)
19 452
10Portuguese (pt)
Espectro (matemática)
19 336
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 "Spectrum (functional analysis)" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Spectrum (functional analysis)
1 931
2German (de)
Spektrum (Operatortheorie)
598
3Russian (ru)
Спектр оператора
337
4Japanese (ja)
スペクトル (関数解析学)
312
5Italian (it)
Spettro (matematica)
177
6Chinese (zh)
谱 (泛函分析)
173
7French (fr)
Spectre d'un opérateur linéaire
148
8Spanish (es)
Espectro de un operador
104
9Polish (pl)
Widmo (matematyka)
92
10Korean (ko)
스펙트럼 (함수해석학)
29
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)
88
2German (de)
Spektrum (Operatortheorie)
68
3Russian (ru)
Спектр оператора
45
4Italian (it)
Spettro (matematica)
35
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)
15
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 2026

Language versions of the article "Spectrum (functional analysis)" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Catalan (ca)
Espectre (matemàtiques)
0
2Danish (da)
Spektrum (funktionsanalyse)
0
3German (de)
Spektrum (Operatortheorie)
0
4English (en)
Spectrum (functional analysis)
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)
379
2German (de)
Spektrum (Operatortheorie)
136
3Italian (it)
Spettro (matematica)
130
4Chinese (zh)
谱 (泛函分析)
96
5Japanese (ja)
スペクトル (関数解析学)
94
6Russian (ru)
Спектр оператора
66
7Korean (ko)
스펙트럼 (함수해석학)
54
8Spanish (es)
Espectro de un operador
53
9French (fr)
Spectre d'un opérateur linéaire
53
10Polish (pl)
Widmo (matematyka)
30
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
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:
#247179
11.2014
Global:
#183610
01.2015

AI rank trends

Best Rank English:
#19837
04.2003
Global:
#26175
04.2003

Languages comparison

Important global interconnections (July 2025 – June 2026)

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

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 English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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