Published June 24, 2008 | Version v1
Publication Open

On Convex Hull of Orthogonal Scalar Spectral Functions of a Carleman Operator

Creators

  • 1. Université de Mostaganem

Description

In this paper we describe the closed convex hull of orthogonal resolvents of an abstract symmetric operator of defect indices (1; 1), then we study the convex hull of orthogonal spectral functions of a Carleman operator in the Hilbert space L^2 (X; \mu) :

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

في هذه الورقة، نصف الهيكل المحدب المغلق للمذيبات المتعامدة للمشغل المتماثل المجرد لمؤشرات العيوب (1 ؛ 1)، ثم ندرس الهيكل المحدب للوظائف الطيفية المتعامدة لمشغل Carleman في مساحة Hilbert L^2 (X ؛ \mu):

Translated Description (French)

Dans cet article, nous décrivons la coque convexe fermée des résolvants orthogonaux d'un opérateur symétrique abstrait des indices de défauts (1 ; 1), puis nous étudions la coque convexe des fonctions spectrales orthogonales d'un opérateur de Carleman dans l'espace de Hilbert L^2 (X ; \mu) :

Translated Description (Spanish)

En este artículo describimos el casco convexo cerrado de resolventes ortogonales de un operador simétrico abstracto de índices de defectos (1; 1), luego estudiamos el casco convexo de funciones espectrales ortogonales de un operador de Carleman en el espacio de Hilbert L^2 (X; \mu) :

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Additional details

Additional titles

Translated title (Arabic)
على الهيكل المحدب للوظائف الطيفية العددية المتعامدة لمشغل كارلمان
Translated title (French)
Sur la coque convexe des fonctions spectrales scalaires orthogonales d'un opérateur Carleman
Translated title (Spanish)
En el casco convexo de las funciones espectrales escalares ortogonales de un operador Carleman

Identifiers

Other
https://openalex.org/W2279182184
DOI
10.5269/bspm.v26i1-2.7398

Is supplement to
https://openalex.org/W563487689 (Other)
https://openalex.org/W4246461909 (Other)
https://openalex.org/W2971424936 (Other)
https://openalex.org/W2965861863 (Other)
https://openalex.org/W2893068807 (Other)
https://openalex.org/W2483619716 (Other)
https://openalex.org/W2467926385 (Other)
https://openalex.org/W2377576908 (Other)
https://openalex.org/W2007256320 (Other)
https://openalex.org/W161301265 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Algeria

References

  • https://openalex.org/W1584623820
  • https://openalex.org/W1995472872
  • https://openalex.org/W2015967643
  • https://openalex.org/W2041997520
  • https://openalex.org/W2078774044
  • https://openalex.org/W2094553393
  • https://openalex.org/W2150358749
  • https://openalex.org/W2227575889
  • https://openalex.org/W345682221