A note on absolute continuity
โ Scribed by Lawrence Zalcman
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 109 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove that in any dimension a variational measure associated with an additive continuous function is ฯ-finite whenever it is absolutely continuous. The one-dimensional version of our result was obtained in [1] by a different technique. As an application, we establish a simple and transparent rela
We show that a Banach space X has the analytic complete continuity property if and only if for every 1 โค p < โ and for every f โ H p X , the sequence f r n e iโข is p-Pettis-Cauchy for every r n โ 1. This allows us to show that X has the analytic complete continuity property if and only if L p X has