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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Format: | Doctoral Thesis |
Language: | English |
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Philipps-Universität Marburg
2004
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Online Access: | PDF Full Text |
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