TY - JOUR
T1 - Multiplication Operators on Weighted Spaces of Vector-Valued Continuous Functions
AU - Singh, R. K.
AU - Manhas, JAsbir Singh
PY - 1991/2
Y1 - 1991/2
N2 - If V is a system of weights on a completely regular Hausdorff space X and E is a locally convex space, then CVQ(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.
AB - If V is a system of weights on a completely regular Hausdorff space X and E is a locally convex space, then CVQ(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.
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U2 - 10.1017/S1446788700032584
DO - 10.1017/S1446788700032584
M3 - Article
AN - SCOPUS:0040061730
SN - 1446-7887
VL - 50
SP - 98
EP - 107
JO - Journal of the Australian Mathematical Society
JF - Journal of the Australian Mathematical Society
IS - 1
ER -