Completeness of the set of sub-σ-algebras
A new metric is introduced on the set of all sub-σ-algebras of a complete probability space from functional analysis point of view. In this note, we will show that the resulting metric space is complete.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000626 |
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| Summary: | A new metric is introduced on the set of all sub-σ-algebras of a complete probability
space from functional analysis point of view. In this note, we will show that the resulting metric
space is complete. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |