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



Document title: On Convex Hull of Orthogonal Scalar Spectral Functions of a Carleman Operator
Journal: Boletim da Sociedade Paranaense de Matematica
Database: PERIÓDICA
System number: 000395335
ISSN: 0037-8712
Authors: 1
Institutions: 1University of Abdelhamid Ibn Badis Mostaganem, Department of Mathematics, Mostaganem. Argelia
Year:
Volumen: 26
Number: 1-2
Pages: 9–18-9–18
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract 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 L²(X, µ)
Disciplines: Matemáticas
Keyword: Matemáticas puras,
Teoría espectral,
Espacios de Hilbert,
Envolventes convexas,
Operadores integrales,
Operadores lineales,
Problema de momentos,
Funciones espectrales
Keyword: Mathematics,
Pure mathematics,
Spectral theory,
Hilbert spaces,
Convex hulls,
Integral operators,
Linear operators,
Moment problem,
Spectral functions
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