TY  - GEN
T1  - Unitary extensions of Hilbert A(D)-modules split
A1  - Didas,Michael
A1  - Eschmeier,Jörg
Y1  - 2012/02/24
N2  - Let D\subset\mathbb{C}^{n}  be a relatively compact strictly pseudoconvex open set or a bounded symmetric and circled domain, and let S denote the Shilov boundary of D. Given Hilbert A(D)-modules H, J and K, we prove that if the A(D)-module structure on H or K extends to a Hilbert C(S)-module structure, then each short exact sequence 0\rightarrow H\rightarrow J\rightarrow K\rightarrow0  splits in the category of Hilbert A(D)-modules.
CY  - Saarbrücken
PB  - Universitäts- und Landesbibliothek
AD  - Postfach 151141, 66041 Saarbrücken
UR  - http://scidok.sulb.uni-saarland.de/volltexte/2012/4619
ER  -