Repositorio de producción científica de la Universidad de Sevilla

Toeplitz operators and division by inner functions


Advanced Search
Opened Access Toeplitz operators and division by inner functions
Show item statistics
Export to
Author: Girela Álvarez, Daniel
González Enríquez, Cristóbal Miguel
Peláez Márquez, José Ángel
Coordinator/Director: Montes Rodríguez, Alfonso
Date: 2005
Published in: First Advanced Course in Operator Theory and Complex Analysis (2005), p 85-103
ISBN/ISSN: 9788447210244
Document type: Presentation
Abstract: A subspace X of the Hardy space H1 is said to have the K-property if for any ψ ∈ H∞, the Toeplitz operator Tψ maps X into itself. This in turn implies that X also has the f-property. This means that h/I ∈ X whenever h ∈ X and I is an inner function with h/I ∈ H1. In this survey paper we present a list of subspaces of H1 that have or have not the f- or K-property, showing some of the different techniques and methods used in the subject.
Size: 279.0Kb
Format: PDF


This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)