Please use this identifier to cite or link to this item:
doi:10.22028/D291-26314
Title: | Unitary extensions of Hilbert A(D)-modules split |
Author(s): | Didas, Michael Eschmeier, Jörg |
Language: | English |
Year of Publication: | 2005 |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | 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. |
Link to this record: | urn:nbn:de:bsz:291-scidok-46196 hdl:20.500.11880/26370 http://dx.doi.org/10.22028/D291-26314 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 151 |
Date of registration: | 24-Feb-2012 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
Files for this record:
File | Description | Size | Format | |
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preprint_151_05.pdf | 165,83 kB | Adobe PDF | View/Open |
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