Duality of H-Cones
| Autor: | S.-L. Eriksson-Bique |
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| Rok vydání: | 1994 |
| Předmět: | |
| Zdroj: | Classical and Modern Potential Theory and Applications ISBN: 9789401044981 |
| DOI: | 10.1007/978-94-011-1138-6_14 |
| Popis: | A potential-theoretic model of an H-cone is the cone of positive superharmonic functions on a harmonic space. We consider duals of H-cones. The dual of an H-cone is the set of extended real-valued additive and left order continuous functions finite on a dense set. Since the introduction of H-cones it has been unknown how well an H-cone can be embedded into its second dual. We have proved earlier that an H-cone is always specifically solid in its second dual and even solid and increasingly dense if a special unit exists. In this paper we shall improve these results so that they cover all potential-theoretic examples. |
| Databáze: | OpenAIRE |
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