Abstract
Let J be a completely regular Hausdorff space, let V be a system of weights on X and let T be a locally convex Hausdorff topological vector space. Then CVb(X, T) is a locally convex space of vector-valued continuous functions with a topology generated by seminorms which are weighted analogues of the supremum norm. In the present paper we characterize multiplication operators on the space CVb(X, T) induced by operator-valued mappings and then obtain a (linear) dynamical system on this weighted function space.
| Original language | English |
|---|---|
| Pages (from-to) | 92-102 |
| Number of pages | 11 |
| Journal | Journal of the Australian Mathematical Society |
| Volume | 53 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Aug 1992 |
| Externally published | Yes |
Keywords
- dy
- locally convex spaces
- multiplication operators
- namical systems
- system of weights
ASJC Scopus subject areas
- General Mathematics