Inequalties for powers of unbounded operators
β Scribed by M. H. Protter
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 277 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0025-2611
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π SIMILAR VOLUMES
## Abstract In this paper we generalize the notion of hypercyclic and chaotic semigroups to families of unbounded operators. We study this concept within the frameworks of __C__βregularized semigroups and of regular distribution semigroups. We then apply our results to unbounded semigroups generate
Let G be a group, let U(G) denote the set of unbounded operators on L 2 (G) which are affiliated to the group von Neumann algebra W(G) of G, and let D(G) denote the division closure of CG in U(G). Thus D(G) is the smallest subring of U(G) containing CG which is closed under taking inverses. If G is