Autor(en): | Hazod, Wilfried |
Titel: | Intrinsic topologies on H-contraction groups with applications to semistability |
Sprache (ISO): | en |
Zusammenfassung: | 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. |
URI: | http://hdl.handle.net/2003/29311 http://dx.doi.org/10.17877/DE290R-15313 |
Erscheinungsdatum: | 2012-02-20 |
Enthalten in den Sammlungen: | Preprints der Fakultät für Mathematik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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mathematicalPreprint-2012-01.pdf | 619.59 kB | Adobe PDF | Öffnen/Anzeigen |
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