The theory of H(b) spaces. Volume 1 /

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An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devot...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Fricain, Emmanuel, 1971- (Autor), Mashreghi, Javad (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, United Kingdom : Cambridge University Press, 2016.
Colección:New mathematical monographs ; 20.
Temas:
Hilbert space.
Hardy spaces.
Analytic functions.
Linear operators.
Espace de Hilbert.
Espaces de Hardy.
Fonctions analytiques.
Opérateurs linéaires.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Machine generated contents note: List of figures; Preface; List of symbols; Important conventions; 1. *Normed linear spaces and their operators; 2. Some families of operators; 3. Harmonic functions on the open unit disc; 4. Analytic functions on the open unit disc; 5. The corona problem; 6. Extreme and exposed points; 7. More advanced results in operator theory; 8. The shift operator; 9. Analytic reproducing kernel Hilbert spaces; 10. Bases in Banach spaces; 11. Hankel operators; 12. Toeplitz operators; 13. Cauchy transform and Clark measures; 14. Model subspaces KT; 15. Bases of reproducing kernels and interpolation; Bibliography; Index.

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