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.
Saved in:
Main Author: | Xikui Wang |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
1993-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171293000626 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
A metric space associated with probability space
by: Keith F. Taylor, et al.
Published: (1993-01-01) -
Means with values in a Banach lattice
by: R. Rao Chivukula, et al.
Published: (1987-01-01) -
Quotient Banach Lattices Under Unbounded Norm Topology
by: Leila Hasanzadeh, et al.
Published: (2024-07-01) -
Operation Support System Requirement of OTT
by: Pengwu Yu, et al.
Published: (2014-06-01) -
On the ideals of extended quasi-nilpotent Banach algebras
by: Morteza Seddighin
Published: (1991-01-01)