Hensgen, Wolfgang (1996) A simple proof of Singer's representation theorem. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 124 (10). pp. 3211-3212. ISSN 0002-9939, 1088-6826
Full text not available from this repository.Abstract
Let Omega be a compact Hausdorff space and X a Banach space. Singer's theorem states that under the dual pairing (f,m) --> integral[f,dm], the dual space of C(Omega;X) is isometric to rcabv(Omega;X'). Using the Hahn-Banach theorem and the (scalar) Riesz representation theorem, a proof of Singer's theorem is given which appears to be simpler than the proofs supplied earlier by Singer (1957,1959) and Dinculeanu (1959,1967).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | vector-valued continuous functions; regular vector measures |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Jun 2023 10:06 |
| Last Modified: | 22 Jun 2023 10:06 |
| URI: | https://pred.uni-regensburg.de/id/eprint/51454 |
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