Multiplication operators on weighted spaces of vector-valued continuous functions

Journal of the Australian Mathematical Society

R. K. Singh¹ 

[1] Jasbir Singh Manhas

关键词: 47 B 38;    46 E 40;   

DOI  :  10.1017/S1446788700032584

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

If V is a system of weights on a completely regular Hausdorff space X and E is alocally convex space, then CV0(X, E) and CVb (X, E) are locally convex spaces of vector-valued continuous functions with topologies generated by seminorms which are weighted analogues of the supremum norm. In this paper we characterise multiplication operators on these spaces induced by scalar-valued and vector-valued mappings. Many examples are presented to illustrate the theory.

【 授权许可】

Unknown