Multiplication Operators and Dynamical Systems

R. K. Singh, Jasbir Singh Manhas
1992 Journal of the Australian Mathematical Society  
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 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
more » ... stem on this weighted function space. 1991 Mathematics subject classification (Amer. Math. Soc.): 34 C 35, 46 E 40, 47 B 38.
doi:10.1017/s1446788700035424 fatcat:s4uexuk7bzghxnb7ervrjl6asy