A metric space associated with probability space
نویسندگان
چکیده
منابع مشابه
A Metric Space Associated with a Probability Space
For a complete probability space (9t, I,P), the set of all complete sub-(z-algebras of )2, S(Y:.), is given a natural metric and studied. The questions of when 5’(Z) is compact or connected are awswered and the important subset consisting of all continuous sub-a-algebras is shown to be closed. Con,aections with Christensen’s metric on the yon Neumann subalgebras of a Type II]-factor are briefly...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1993
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171293000328