In this paper we prove some properties of p -additive functions as well as p -additive set -valued functions. We start with some definitions. Definition 2.1. A set C ⊆ X (where X is a vector space) is said to be a convex cone if and only if C + C ⊆ C and t C ⊆ C for all t ∈ (0, ∞). Definition 2.2.
Extensive Measurement: Continuous Additive Utility Functions on Semigroups
✍ Scribed by Juan Carlos Candeal; Juan Ramón De Miguel; Esteban Induráin
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 310 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0022-2496
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Clearly the sum as well as the maximum of two real numbers can be presented as a semigroup operation. So the measure with values in a partially ordered semigroup is a common generalization of additive or subadditive and maxitive measures (see Section 4). The extension of such measures we realize by
b ## Ž . gies are analyzed such as bounded sets, denseness of C X m E, the b Mackey property, continuous functionals, etc. Also, the dual of these locally convex spaces and the relation of it to spaces of vector-measures are analyzed.