Item type:Doctoral Thesis, Open Access

Toeplitz Operators on Semi-Simple Lie Groups

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Date

2005-11-22

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Philipps-Universität Marburg
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Abstract

Let $G/K$ be a Hermitian symmetric space of non-compact type. We consider for the so-called minimal Olshanskii semigroup $\Gamma\subset G^C$, the C$^*$-algebra $T$ generated by all Toeplitz operators $T_f$ on the Hardy space $H^2(\Gamma)\subset L^2(G)$. We describe the construction of ideals of $T$ associated to boundary strata of the domain $\Gamma$.

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Dates
Created: 2004Issued: 2005-11-22Updated: 2022-04-07
DOI
https://doi.org/10.17192/z2005.0511
Faculty
Fachbereich Mathematik und Informatik
Publisher
Philipps-Universität Marburg
Language
eng
Data types
DoctoralThesis
Keywords
Invariant coneAlgebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)Hermitian symmetric spaceJordan triple systemToeplitz algebraHardyy space
DFG-subjects
Hermitescher symmetrischer RaumJordan-TripelsystemFaceToeplitz-AlgebraHardy-RaumDiskrete ReiheHopf-AlgebraHalbeinfache Lie-Gruppe
DDC-Numbers
510
License
https://rightsstatements.org/vocab/InC-NC/1.0/
URI
https://open.uni-marburg.de/handle/10.17192/z2005.0511
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Alldridge, Alexander (118189603): Toeplitz Operators on Semi-Simple Lie Groups. : Philipps-Universität Marburg 2005-11-22. DOI: https://doi.org/10.17192/z2005.0511.

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