TY - JOUR
T1 - Operators and Dynamical Systems on Weighted Function Spaces
AU - Singh, R. K.
AU - Manhas, J. S.
PY - 1994
Y1 - 1994
N2 - Let X be a completely regular Hausdorff space, let V be a system of weights on X and let E be a locally convex Hausdorff space. Let CV0(X, E) and CVb(X, E) be the weighted locally convex spaces of vector‐valued continuous functions with a topology generated by seminorms which are weighted analogue of the supremum norm. In the present paper, we characterize multiplication operators and weighted composition operators on the spaces CV0(X, E) and CVb(X, E) induced by scalar‐valued and vector‐valued mappings. A (linear) dynamical system on these weighted spaces is obtained as an application of the theory of multiplication operators.
AB - Let X be a completely regular Hausdorff space, let V be a system of weights on X and let E be a locally convex Hausdorff space. Let CV0(X, E) and CVb(X, E) be the weighted locally convex spaces of vector‐valued continuous functions with a topology generated by seminorms which are weighted analogue of the supremum norm. In the present paper, we characterize multiplication operators and weighted composition operators on the spaces CV0(X, E) and CVb(X, E) induced by scalar‐valued and vector‐valued mappings. A (linear) dynamical system on these weighted spaces is obtained as an application of the theory of multiplication operators.
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U2 - 10.1002/mana.19941690120
DO - 10.1002/mana.19941690120
M3 - Article
AN - SCOPUS:84985335867
SN - 0025-584X
VL - 169
SP - 279
EP - 285
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
IS - 1
ER -