Back to Search
Start Over
$$\mathfrak{S}$$ -Uniform Scalar Integrability and Strong Laws of Large Numbers for Pettis Integrable Functions with Values in a Separable Locally Convex Space.
- Source :
- Journal of Theoretical Probability; Jan2000, Vol. 13 Issue 1, p93-134, 42p
- Publication Year :
- 2000
-
Abstract
- Generalizing techniques developed by Cuesta and Matrán for Bochner integrable random vectors of a separable Banach space, we prove a strong law of large numbers for Pettis integrable random elements of a separable locally convex space E. This result may be seen as a compactness result in a suitable topology on the set of Pettis integrable probabilities on E. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 08949840
- Volume :
- 13
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Journal of Theoretical Probability
- Publication Type :
- Academic Journal
- Accession number :
- 51638956
- Full Text :
- https://doi.org/10.1023/A:1007782825974