Two-parameter vector-valued martingales and geometrical properties of Banach spaces
β Scribed by Cheng Ri-yan; Gan Shi-xin
- Publisher
- Wuhan University
- Year
- 1999
- Tongue
- English
- Weight
- 545 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1007-1202
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π SIMILAR VOLUMES
A p-smoothable Banach space is characterized in terms of the Hhjek-R~nyi inequality for Banach space valued martingales. As applications of this inequality, the strong law of large numbers and integrability of the supremum of Banach space valued martingales are also given. Keywords." Banach space v
In this paper (8, Z, p) will always denote a finite measure space and X a BA-NACH space. K ( p , 9) will denote the BANACH space of p-continuous X-valued measures G defined on L ? having relatively coinpact range, endowed with the semivariation norm (see Purpose of this note is to show that if X is