### 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 |
---|---|

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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Journal of the Australian Mathematical Society*,

*53*(1), 92-102. https://doi.org/10.1017/S1446788700035424

**Multiplication operators and dynamical systems.** / Singh, R. K.; Manhas, Jasbir Singh.

Research output: Contribution to journal › Article

*Journal of the Australian Mathematical Society*, vol. 53, no. 1, pp. 92-102. https://doi.org/10.1017/S1446788700035424

}

TY - JOUR

T1 - Multiplication operators and dynamical systems

AU - Singh, R. K.

AU - Manhas, Jasbir Singh

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

KW - dy

KW - locally convex spaces

KW - multiplication operators

KW - namical systems

KW - system of weights

UR - http://www.scopus.com/inward/record.url?scp=0010722312&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0010722312&partnerID=8YFLogxK

U2 - 10.1017/S1446788700035424

DO - 10.1017/S1446788700035424

M3 - Article

VL - 53

SP - 92

EP - 102

JO - Journal of the Australian Mathematical Society

JF - Journal of the Australian Mathematical Society

SN - 1446-7887

IS - 1

ER -