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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Bibliographic Details
Main Author: Alldridge, Alexander
Contributors: Upmeier, Harald (Prof. Dr.) (Thesis advisor)
Format: Doctoral Thesis
Published: Philipps-Universität Marburg 2004
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Call Number: urn:nbn:de:hebis:04-z2005-05112
Publication Date: 2005-11-22
Downloads: 21 (2022), 95 (2021), 131 (2020), 81 (2019), 36 (2018)
Publication Date: 2005-11-22
Date of Acceptance: 2004-10-20
License: According to UrhG § 31 (2), the author has granted the University Library Marburg the right of use for electronic publication on the Internet and for archiving on its archive server. He has declared that with the granting of the right of use according to UrhG § 31 (3) no exclusive rights of third parties are violated. All other rights for the exploitation of the publication remain with the author.
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