Göğüş, Nihat Gökhan and Perkins, Tony L. and Poletsky, Evgeny A. (2013) Non-compact versions of Edwards' theorem. Positivity, 17 (3). pp. 459-473. ISSN 1385-1292 (Print) 1572-9281 (Online)
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Official URL: http://dx.doi.org/10.1007/s11117-012-0181-9
Abstract
Edwards' Theorem establishes duality between a convex cone in the space of continuous functions on a compact space X and the set of representing or Jensen measures for this cone. It is a direct consequence of the description of positive superlinear functionals on C(X). In this paper we obtain the description of such functionals when X is a locally compact sigma-compact Hausdorff space. As a consequence we prove non-compact versions of Edwards' Theorem.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Superlinear functionals; Envelopes; Representing measures; Jensen measures |
| Subjects: | Q Science > QA Mathematics > QA299.6-433 Analysis |
| Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
| Depositing User: | Nihat Gökhan Göğüş |
| Date Deposited: | 10 Oct 2013 11:51 |
| Last Modified: | 26 Apr 2022 09:05 |
| URI: | https://research.sabanciuniv.edu/id/eprint/21766 |
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Non-compact versions of Edwards' theorem. (deposited 20 Oct 2012 17:03)
- Non-compact versions of Edwards' theorem. (deposited 10 Oct 2013 11:51) [Currently Displayed]
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