Quasi-pseudometric properties of the Nikodym-Saks space
| Autor: | Jesús Ferrer |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2003 |
| Předmět: | |
| Zdroj: | Applied General Topology, Vol 4, Iss 2, Pp 243-253 (2003) |
| Druh dokumentu: | article |
| ISSN: | 1576-9402 1989-4147 |
| DOI: | 10.4995/agt.2003.2029 |
| Popis: | For a non-negative finite countably additive measure μ defined on the σ-field Σ of subsets of Ω, it is well known that a certain quotient of Σ can be turned into a complete metric space Σ (Ω), known as the Nikodym-Saks space, which yields such important results in Measure Theory and Functional Analysis as Vitali-Hahn-Saks and Nikodym's theorems. Here we study some topological properties of Σ (Ω) regarded as a quasi-pseudometric space. |
| Databáze: | Directory of Open Access Journals |
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