Abstract
For a locally convex Hausdorff topological vector space E E and for a system V V of weights vanishing at infinity on a locally compact Hausdorff space X X , let C V 0 ( X , E ) CV_0(X,E) be the weighted space of E E -valued continuous functions on X X with the locally convex topology derived from the seminorms which are weighted analogues of the supremum norm. A characterization of the orthogonality preserving (Lamperti-type) operators on C V 0 ( X , E ) CV_0(X,E) is presented in this paper.
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