Toeplitz Operators on Semi-Simple Lie Groups
Töplitz-Operatoren auf halb-einfachen Lie-Gruppen
Alexander
Alldridge
Hermitian symmetric space
Toeplitz algebra
Hardyy space
Jordan triple system
Mathematics
Mathematik
Invariant cone
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 $\Gamma$.
Philipps-Universität Marburg
Marburg
Deutschhausstraße 9, 35037 Marburg
Harald
Upmeier
Prof. Dr.
2004
2004-10-20
2005-11-22
2022-04-07
Text
doctoralThesis
urn:nbn:de:hebis:04-z2005-05112
eng
thesis.doctoral
Philipps-Universität Marburg
Marburg
1
https://archiv.ub.uni-marburg.de/diss/z2005/0511/pdf/daa.pdf
10.17192/z2005.0511
https://archiv.ub.uni-marburg.de/diss/z2005/0511
https://rightsstatements.org/vocab/InC-NC/1.0/