Measure and integration: the basic extension theorems
✍ Scribed by Heinz König
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 211 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1385-1292
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The goal of this paper is to introduce random measures into fuzzy u-algebras. The structure of random measures of fuzzy sets is studied. Extension theorems of random measure on fuzzy algebras to the generated u-algebras are founded. It shows that Bochner integrals with respect to measures of fuzzy s
In this paper an important result is the extension theorem, where we find the conditions under which a fuzzy measurable space or a fuzzy measure space can be extended to a normal F-measurable space or to a normal F-measure space, respectively.
let m → E be a finitely additive measure with finite semivariation, defined on a δ-ring of subsets of a given set S. A theory of integration of vector-valued functions f S → E, applicable to the stochastic integration in Banach spaces, is developed in [6, Sect. 5]. Many times a measure m is defined