Notes on generalized commuting properties of skew product transformations
نویسندگان
چکیده
منابع مشابه
On Commuting Transformations and Roots1
Let (X, (B, m) denote the measure space consisting of the unit interval with Lebesgue measure. We let 3 denote the class of measurable nonsingular invertible transformations mapping X onto X. Given tG3, <r commutes with r if <r(?-(x)) =r(a(x)) for a.e. xGA and a is a pth root of r if ap(x) =r(x) for a.e. xEX. If a is a root of r then a commutes with r, hence it is of interest to find what prope...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1969
ISSN: 0386-2194
DOI: 10.3792/pja/1195520760