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Toeplitz operators and division by inner functions

 

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Opened Access Toeplitz operators and division by inner functions
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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.
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Format: PDF

URI: http://hdl.handle.net/11441/61423

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