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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Bibliografski detalji
Glavni autor: Alldridge, Alexander
Daljnji autori: Upmeier, Harald (Prof. Dr.) (Savjetnik disertacije)
Format: Dissertation
Jezik:engleski
Izdano: Philipps-Universität Marburg 2004
Teme:
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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Opis
Sažetak: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 $\Gamma$.
Opis fizičkog objekta:254 Seiten
Digitalni identifikator objekta:10.17192/z2005.0511

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