naa a22 4500 510781624 CHVBK 20180411083249.0 cr unu---uuuuu 180411e20130801xx s 000 0 eng 10.1007/s11854-013-0023-0 doi (NATIONALLICENCE)springer-10.1007/s11854-013-0023-0 Yuasa Hisatoshi Division of Mathematical Sciences, Osaka Kyoiku University, 4-698-1 Asahigaoka, 582-8582, Kashiwara, Osaka, Japan aut Uniform sets for infinite measure-preserving systems [Elektronische Daten] [Hisatoshi Yuasa] The concept of a uniform set is introduced for an ergodic, measure-preserving transformation on a non-atomic, infinite Lebesgue space. The uniform sets exist inasmuch as they generate the underlying σ-algebra. This leads to the result that every ergodic, measure-preserving transformation on a non-atomic, infinite Lebesgue space is isomorphic to a minimal homeomorphism on a locally compact metric space which admits a unique, up to scaling, invariant Radon measure. Hebrew University Magnes Press, 2013 Journal d'Analyse Mathématique Springer US; http://www.springer-ny.com 120/1(2013-08-01), 333-356 0021-7670 120:1<333 2013 120 11854 https://doi.org/10.1007/s11854-013-0023-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11854-013-0023-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Yuasa Hisatoshi Division of Mathematical Sciences, Osaka Kyoiku University, 4-698-1 Asahigaoka, 582-8582, Kashiwara, Osaka, Japan aut NATIONALLICENCE 773 0- Journal d'Analyse Mathématique Springer US; http://www.springer-ny.com 120/1(2013-08-01), 333-356 0021-7670 120:1<333 2013 120 11854 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer