Multiplication Operators and Dynamical Systems

Journal of the Australian Mathematical Society

R. K. Singh¹ 

[1] Jasbir Singh Manhas

关键词: 34 C 35;    46 E 40;    47 B 38;   

DOI  :  10.1017/S1446788700035424

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

Let X 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.

【 授权许可】

Unknown