Please use this identifier to cite or link to this item:
doi:10.22028/D291-30887
Title: | Toeplitz operators on Hardy spaces |
Author(s): | Kraemer, Daniel |
Language: | English |
Year of Publication: | 2019 |
DDC notations: | 510 Mathematics |
Publikation type: | Dissertation |
Abstract: | In the present thesis we establish Banach space counterparts for several results known for Toeplitz operators on Hardy-Hilbert spaces. We use methods of Didas, Eschmeier and Everard to construct Toeplitz projections for Toeplitz operators acting on a general class of Hardy-type spaces. These Toeplitz projections provide a general framework for Brown-Halmos type characterizations of Toeplitz operators and allow us to prove a Banach space version of a classical spectral inclusion theorem of Hartman and Wintner. Furthermore we show that a multivariable spectral mapping theorem of Eschmeier for Toeplitz tuples on Hardy-Hilbert spaces over strictly pseudoconvex domains with smooth boundary remains true in the corresponding Banach space setting. As an application we derive a spectral mapping theorem for truncated Toeplitz systems which generalizes a one dimensional result proved by Bessonov for the Hardy-Hilbert space on the unit disc. |
Link to this record: | urn:nbn:de:bsz:291--ds-308874 hdl:20.500.11880/29114 http://dx.doi.org/10.22028/D291-30887 |
Advisor: | Eschmeier, Jörg |
Date of oral examination: | 24-Apr-2020 |
Date of registration: | 11-May-2020 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Professorship: | MI - Prof. Dr. Jörg Eschmeier |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
File | Description | Size | Format | |
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DissertationKraemer.pdf | 1 MB | Adobe PDF | View/Open |
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