caa a22 4500 469068736 CHVBK 20180323132915.0 cr unu---uuuuu 170328e19920601xx s 000 0 eng 10.1007/BF02808161 doi (NATIONALLICENCE)springer-10.1007/BF02808161 Bartoszek Wojciech Department of Mathematics and Applied Mathematics, Potchefstroom University for Christian Higher Education, 2520, Potchefstroom, South Africa aut On the residuality of mixing by convolutions probabilities [Elektronische Daten] [Wojciech Bartoszek] A probability measureμ on a locally compactσ — compact amenable Hausdorff groupG is called mixing by convolutions if for every pair of probabilitiesν 1,ν 2 onG we have: $$\mathop {\lim }\limits_{n \to \infty } \left\| {\left( {\nu _1 - \nu _2 } \right) \star \mu ^{ \star n} } \right\| = \mathop {\lim }\limits_{n \to \infty } \left\| {\left( {\nu _1 - \nu _2 } \right) \star \mu ^{ \star n} } \right\| = 0.$$ . It is proved that the set of all mixing by convolutions probabilities is a norm (variation) dense subset of the setP(G) of all probabilities onG. IfG is additionally second countable the mixing measures are residual inP(G). Hebrew University, 1992 Israel Journal of Mathematics Springer-Verlag 80/1-2(1992-06-01), 183-193 0021-2172 80:1-2<183 1992 80 11856 https://doi.org/10.1007/BF02808161 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02808161 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bartoszek Wojciech Department of Mathematics and Applied Mathematics, Potchefstroom University for Christian Higher Education, 2520, Potchefstroom, South Africa aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer-Verlag 80/1-2(1992-06-01), 183-193 0021-2172 80:1-2<183 1992 80 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer