Ponencia
Toeplitz operators and division by inner functions
Autor/es | Girela Álvarez, Daniel
González Enríquez, Cristóbal Miguel Peláez Márquez, José Ángel |
Coordinador/Director | Montes Rodríguez, Alfonso |
Fecha de publicación | 2005 |
Fecha de depósito | 2017-06-21 |
Publicado en |
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ISBN/ISSN | 9788447210244 |
Resumen | 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 ... 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. |
Identificador del proyecto | MTN2004-00078
FQM-210 |
Cita | Girela Álvarez, D., González Enríquez, C.M. y Peláez Márquez, J.Á. (2005). Toeplitz operators and division by inner functions. En First Advanced Course in Operator Theory and Complex Analysis (85-103), Sevilla: Editorial Universidad de Sevilla. |
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