Göğüş, Nihat Gökhan and Perkins, Tony L. and Poletsky, Evgeny A. (2012) Non-compact versions of Edwards' theorem. (Accepted/In Press)
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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 σ-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: | 20 Oct 2012 17:03 |
| Last Modified: | 31 Jul 2019 12:04 |
| URI: | https://research.sabanciuniv.edu/id/eprint/19797 |
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