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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Fricain, Emmanuel (Author), Mashreghi, Javad (Author)
Format: Electronic eBook
Language:Inglés
Published: Cambridge : Cambridge University Press, 2016.
Series:New mathematical monographs ; 20.
Subjects:
Hilbert space.
Hardy spaces.
Analytic functions.
Linear operators.
Espace de Hilbert.
Espaces de Hardy.
Fonctions analytiques.
Opérateurs linéaires.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Online Access:Texto completo
Table of Contents:
  • Normed linear spaces and their operators
  • Some families of operators
  • Harmonic functions on the open unit disk
  • Hardy spaces
  • More function spaces
  • Extreme and exposed points
  • More advanced results in operator theory
  • The shift operator
  • Analytic reproducing kernel Hilbert spaces
  • Bases in Banach spaces
  • Hankel operators
  • Toeplitz operators
  • Cauchy transform and Clark measures
  • Model subspaces Ko
  • Bases of reproducing kernels and interpolation.

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