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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Detalles Bibliográficos

Autor Principal:	Alldridge, Alexander
Outros autores:	Upmeier, Harald (Prof. Dr.) (BetreuerIn (Doktorarbeit))
Formato:	Dissertation
Idioma:	inglés
Publicado:	Philipps-Universität Marburg 2004
Schlagworte:	Hermitescher symmetrischer Raum Invariant cone Jordan-Tripelsystem Hermitian symmetric space Face Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) Mathematik Toeplitz algebra Jordan triple system Toeplitz-Algebra Hardy-Raum Hardyy space Diskrete Reihe Hopf-Algebra Halbeinfache Lie-Gruppe Mathematics
Acceso en liña:	Texto completo PDF
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