Intrinsic topologies on H-contraction groups with applications to semistability
| dc.contributor.author | Hazod, Wilfried | |
| dc.date.accessioned | 2012-02-20T09:53:38Z | |
| dc.date.available | 2012-02-20T09:53:38Z | |
| dc.date.issued | 2012-02-20 | |
| dc.description.abstract | Semistable continuous convolution semigroups on Lie groups with non-trivial idempotent are characterized by semistable continuous convolution semigroups with trivial idempotent on a contractible, hence homogeneous Lie group. (Cf., e.g. [9], [10], III, theorem 3.5.4.) In fact, this homogeneous group is obtained by a retopologization of the contractible subgroup on which the original semistable laws are concentrated. In [26] E. Siebert investigated such intrinsic topologies for contractible subgroups of Polish groups, generalizing partially the before mentioned situation of Lie groups. Here we use these ideas to obtain intrinsic topologies for H-contractible subgroups of Polish groups, where H denotes a compact subgroup. This allows, under additional assumptions (which are satisfied in the Lie group case) to obtain similar characterization of semistable laws with non-trivial idempotents. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/29311 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-15313 | |
| dc.language.iso | en | |
| dc.subject.ddc | 610 | |
| dc.title | Intrinsic topologies on H-contraction groups with applications to semistability | em |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access |