Js. Manhas et Rk. Singh, COMPACT AND WEAKLY COMPACT WEIGHTED COMPOSITION OPERATORS ON WEIGHTEDSPACES OF CONTINUOUS-FUNCTIONS, Integral equations and operator theory, 29(1), 1997, pp. 63-69
In this note we characterize the compact and weakly compact weighted c
omposition operators W-pi,W-phi on certain weighted locally convex spa
ces CVo(X, E) of vector-valued continuous functions induced by self ma
ps phi of X and the operator-valued mappings pi : X --> B(E).