Digitale Medien
Springer
Probability theory and related fields
14 (1970), S. 200-202
ISSN:
1432-2064
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Summary Necessary and sufficient conditions are given for the existence of a finite measure which is equivalent to a given measure and invariant with respect to each transformation in a given commutative semigroup of measurable null-invariant point transformations. This result was already known for denumerably generated semigroups. A complementary result is proved which states that if one such equivalent measure exists, then there exists a unique equivalent measure which agrees with the original measure on the invariant sets.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01111417
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