Mackey Topologies and Mixed Topologies in Riesz Spaces
β Scribed by Jurie Conradie
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 221 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1385-1292
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## Abstract In this paper we prove that the strict topology on spaces of continuous and holomorphic functions on a BANACH space can be considered a mixed topology. Using this fact, we obtain new results about the strict topology, as an application of the general properties of mixed topologies.
An example of a Frechet space E is given such that the space of n-homogeneous Δontinuous polynomials on E, endowed with any of the natural topologies usually considered on it, is quasinormable for every n g N. This space has the particularity that all the natural topologies are different on it for n