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Mackey Topologies and Mixed Topologies in Riesz Spaces

✍ 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.

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An example of a Frechet space E is given such that the space of n-homogeneous Δ‡ontinuous 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