We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Some results on analytic spaces and semi-analytic functions with regard to gambling theory.
- Authors
Wiltmann, Horst
- Abstract
In gambling theory as well as in dynamic programming, fundamental results are often proved by using properties of the weak topology on the space of real-valued, non-negative Borel measures on some analytic space (e.g., cf. Hinderer [3], Rieder [6], and Blackwell et al.[1]). In all these papers, the definition of weak topology is 'classically' based on continuous functions. Here we point out that some of these results can be considerably generalized by using Topsøfe's definition of weak topology based on semi-continuous functions. Furthermore, it turns out that, following this approach, our proofs are much simpler than those in the papers cited above.
- Publication
Manuscripta Mathematica, 1977, Vol 20, Issue 3, p301
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/BF01358643