Toeplitz Operators on Semi-Simple Lie Groups

Toeplitz Operators on Semi-Simple Lie Groups

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 $T$...

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Autor principal: Alldridge, Alexander
Altres autors: Upmeier, Harald (Prof. Dr.) (Assessor de tesis)
Format: Dissertation
Idioma:anglès
Publicat: Philipps-Universität Marburg 2004
Matèries:
Toeplitz algebra
Hermitescher symmetrischer Raum
Hermitian symmetric space
Jordan-Tripelsystem
Invariant cone
Hardyy space
Face
Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)
Mathematik
Toeplitz-Algebra
Hardy-Raum
Diskrete Reihe
Jordan triple system
Hopf-Algebra
Halbeinfache Lie-Gruppe
Mathematics
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Detall dels fons de
Signatura: urn:nbn:de:hebis:04-z2005-05112
Data de publicació: 2005-11-22
Datum der Annahme: 2004-10-20
Downloads: 55 (2024), 94 (2023), 88 (2022), 95 (2021), 131 (2020), 81 (2019), 36 (2018)
Lizenz: https://rightsstatements.org/vocab/InC-NC/1.0/
URL d'accés: https://archiv.ub.uni-marburg.de/diss/z2005/0511
https://doi.org/10.17192/z2005.0511

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