### 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 CV_{b}(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 CV_{b}(X, T) induced by operator-valued mappings and then obtain a (linear) dynamical system on this weighted function space.

Original language | English |
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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 - 1992 |

### Keywords

- dy
- locally convex spaces
- multiplication operators
- namical systems
- system of weights

### ASJC Scopus subject areas

- Mathematics(all)

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## Cite this

Singh, R. K., & Manhas, J. S. (1992). Multiplication operators and dynamical systems.

*Journal of the Australian Mathematical Society*,*53*(1), 92-102. https://doi.org/10.1017/S1446788700035424