✦ LIBER ✦
Uniform s-Boundedness and Convergence Results for Measures with Values in Complete l-Groups
✍ Scribed by A. Boccuto; D. Candeloro
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 171 KB
- Volume
- 265
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
Absolute continuity, s-boundedness, and extensions are studied, in the context of the so-called RD-convergence, for set functions taking values in Dedekind complete l-groups. Subsequently, we obtain results of uniform s-boundedness for RD-convergent sequences of measures (Vitali-Hahn-Saks-Nikodým theorem) and deduce a Schur-type theorem for measures defined on * .